LCM Math
Hey friends! Today’s topic is ‘LCM Math’, this is interesting math topic and with this you learn how to determine the common multiple. LCM is abbreviated as least common multiple, apart from this LCM is also known as smallest common multiple and lowest common multiple. in mathematical terms we can define the LCM as the smallest of the positive integers that divide the given number exactly without remainder. LCM could also be defined as a common multiple of two or more number is a number that is a multiple of each of the given numbers. We can take LCM of a single number or a group of numbers or a set of numbers. When you take LCM of a set of number then it is the least number into which each of numbers divides exactly. Least common multiple of two numbers is exactly equal to their product divided by their greatest common divisor.
Let’s see how to calculate the LCM of any number.
Step 1: note the given terms.
Step 2: After this find the multiples of term ‘a’.
Step 3: now, find multiples of term ‘b’.
Step 4: now, note the common multiplies of both the terms ‘a and ‘b’.
Step 5: LCM is obtained by choosing small values of common values.
After understanding the steps that are involved in calculating LCM and let’s switch towards the examples of the same.
Example 1: Calculate the LCM of 5 and 10.
Answer:
LCM :
The multiplies of 5 are 5, 10, 15, 20, 25, 30, 35, 40,…
The multiplies of 10 are 10, 20, 30, 40, 50, 60, 70,…
Common multiplies are 10, 20
LCM =10
Example: Calculate the LCM and GCD of 12 and 10.
Solution: LCM:
Multiplies of 12 are 12, 24, 36, 48, 60, 72, 84,96,108,120
Multiplies of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90,100,110,120
Common multiplies are 60, 120
LCM = 60.
In this way you can easily calculate the LCM of any number or set of numbers.
LCM is that topic which you study in primary classes and is also used in higher classes. LCM is used in various mathematical problems. When you have to calculate factors, and many other things.
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