Question

I have doubt on LCM AND HCF. not on fulform
on the solution ​

Answer 1

Answer:

LCM means

HCF and LCM: Definition, Formulas, Solved Examples

HCF and LCM: Basic Arithmetic plays an important role in a strong foundation of Mathematics, a subject that is feared by many students. With our concepts clear right from the beginning, we will not face any difficulty in understanding the various advanced concepts that are taught in higher classes. Highest Common Factor (HCF) and Lowest Common Multiple (LCM) are two such concepts that find importance both in school-level Mathematics, in higher classes, and in various competitive exams.

LEARN RELATIONSHIP BETWEEN LCM AND HCF

HCF Full Form

The full form of HCF is Highest Common Factor. HCF also called GCF, and its full form is Greatest Common Factor.

LCM Full Form

The full form of LCM is Lowest Common Multiple.

What is HCF and LCM?

What is HCF?

The full form of HCF is Highest Common Factor. HCF is also known as GCF (Greatest Common Factor) or GCD (Greatest Common Divisor). The greatest common factor (GCF or GCD or HCF) for a subset of whole numbers is the largest positive integer that divides all the given numbers with zero remainders.

What is a “Factor”?

Factors of a number are numbers that divide the given number exactly with 0, i.e., they are the exact divisors of the given numbers.

For example, the number 15 is divisible by 1,3,5 and 15.

Let us understand the concept of HCF with an example:

Consider two numbers: 15 and 18.

HCF with example

From the above figure, we can see that:

Factors of 15:1,3,5 and 15

Factors of 18:1,2,3,6,9 and 18

The common factors of both 15 and 18 are 1 and 3. Here, 3 is the highest common factor of both numbers.

Hence, 3 is the HCF of 15 and 18.

What is LCM?

The full form of LCM is Lowest or the Least Common Multiple. The LCM of two or more numbers is the smallest positive integer that is divisible by all the given numbers.

Multiple: To get the multiples, multiply the number by 1,2,3,4,…

Let us understand the concept of LCM with an example:

Consider two numbers: 8 and 12.

The multiples of 8 are:

8×1=8,

8×2=16,

8×3=24,

8×4=32, and so on…

The multiples of 12 are:

12×1=12,

12×2=24,

12×3=36,

12×4=48, and so on…

24 is the lowest common multiple from all the above multiples of 8 and 12. So, 24 is the LCM of 8 and 12.