What is difference between LCM and HCF with example?
It is also termed as the ‘Greatest Common Divisor’ (GCD). For example, the HCF of 24 and 36 is 12, because 12 is the largest number which can divide both the numbers completely. Similarly, the Least Common Multiple (LCM) of two or more numbers is the smallest number which is a common multiple of the given numbers.
How can you tell the difference between HCF and LCM questions?
When we have to find a number larger than given numbers, then we find LCM. If we have to find smaller number, then we find HCF .
What is the method of HCF and LCM?
The two principal methods which are used to find the LCM (Least Common Multiple) and the HCF (Highest Common Factor) of the numbers are the Prime Factorization Method and Division Method.
What is difference between LCM and HCF of 20 30 40?
∴ LCM of (20, 30), (30, 40), (20, 40), and (20, 30, 40) is 60, 120, 40, and 120 respectively. Now, LHS = HCF(20, 30, 40) = 10.
Why do we use LCM and HCF?
L.C.M and H.C.F of two or more numbers help in finding out quick solutions and thus reduce time during examinations. The concept of L.C.M. is important to solve problems related to racetracks, traffic lights, etc.
What is the difference between LCM and HCF of 8 10 and 12?
∴ LCM of (8, 10), (10, 12), (8, 12), and (8, 10, 12) is 40, 60, 24, and 120 respectively. Now, LHS = HCF(8, 10, 12) = 2.
Why do we learn HCF and LCM?
The fundamental knowledge of HCF and LCM is highly important for students to learn advanced topics quickly. They are mainly applied in number theory and various other topics like factorization, permutation, combinations, etc. All these topics are a little bit tricky to understand and also require precise understanding.
What is the rule of HCF?
H.C.F. of a given number always divides its L.C.M. To find the greatest number that will exactly divide x, y and z. Required number = HCF of x, y and z. To find the Largest number that will divide x, y and z leaving remainders a, b and c respectively.
Is LCM divided by HCF?
The HCF is the highest common factor between two numbers or more. Whereas the LCM is the lowest common multiple which is exactly divided by these two numbers. HCF can also be called the Greatest Common Factor between any two numbers. LCM is also called Least Common Divisor between two or more numbers.
What is the difference between LCM and HCF of 225375450 and 500?
Expert-verified answer
we have to find the difference between LCM and HCF of 225 , 375 , 450 and 500. so the difference between LCM and HCF = 4500 – 25 = 4475.
What is the difference between the LCM and the HCF of 24 and 18?
LCM is the smallest common multiple of two or more numbers. ∴ The difference between the LCM and the HCF of 24 and 18 is 66.
Where do we use LCM?
The LCM of two numbers is the smallest number divisible by both numbers. One prime application of LCM is finding the lowest common denominator (LCD) of two or more fractions. It plays a significant role in adding, subtracting, and comparing two or more fractions.
Why LCM is used in real life?
LCM is a very useful tool in mathematics and helps us to find out division and divisibility. Along with solving various math problems it helps us to understand real life events.
What is the difference of HCF and LCM of two numbers is 1572?
The difference of lcm and hcf of two number is 1572 and thier sum of lcm and hcf is 1596. if one number is 144 than the other is.
Where is HCF used?
Applications of HCF
It is used to split things into smaller sections, to arrange something into rows or groups, to distribute more numbers of items to large groups, and to figure out how many people we have to invite and so on when we want to split things into smaller sections.
What is HCF example?
The HCF (Highest Common Factor) of two numbers is the highest number among all the common factors of the given numbers. For example, the HCF of 12 and 36 is 12 because 12 is the highest common factor of 12 and 36.
What is the LCM of 5 and 7?
35
35 is the LCM of 5 and 7.
Where do we use HCF in our daily life?
Why do we study LCM and HCF?
Is the HCF of 72 and 180 is 36 then their LCM is?
Answer: If the HCF of 72 and 180 is 36, then their LCM is 360.
What is the LCM of 24 36 and 40?
360
Hence, the LCM of 24 , 36 , 40 is 360.
What is the HCF of 42?
The HCF of 36 and 42 is 6. The highest value which divides 36 and 42 is the HCF of these numbers. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36, and the factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Why is LCM used in real life?
So the LCM of all the timings is that time when all the strings will glow at the same time! So for all strings with timings between 1 to 3 seconds, LCM = 6. So at the 6th second all the strings will glow together! Isn’t is wonderful to know that LCM is used in real life!
What is the LCM of 80 and 20?
To sum up, the lcm of 20 and 80 is 80.
What is the LCM of 12 and 18?
36
What is the LCM of 12 and 18? The LCM of 12 and 18 is 36.