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Home >> L.C.M >> Division Method >>

## Division Method (LCM)

 Prime Factorisation Method Division Method

Study the following examples to understand How to calculate LCM by Division Method ?

Example 1 = By using Division Method, find the LCM of 24 & 18 ?
Answer = Steps of finding LCM by Division Method is as :-
2 | 24     18
2 | 12       9
2 |   6       9
3 |   3       9
3 |   1       3
|   1       1

Step 1 = Write the given numbers as shown on the left and divide them with the least prime number i.e 2.
Step 2 = On division, write the quotient in each case below the number.
Step 3 = If any number is not divisible by its respective divisor, it is to be written as such in the next line.
Step 4 = Keep on dividing the quotient until you get 1(as quotient of all) in the last row.
Step 5 = Multiply all the divisors to get LCM of given numbers.
Step 6 = Hence, LCM = 2 × 2 × 2 × 3 × 3     = 72.

Example 2 = Find the LCM of 20, 30,& 40 by Division Method ?
Answer = Steps of finding LCM by Division Method is as :-

2 | 20     30     40
2 | 10     15     20
2 |   5     15     10
3 |   5     15       5
5 |   5       5       5
|   1       1       1

Step 1 = Write the given numbers as shown on the left and divide them with the least prime number i.e 2.
Step 2 = On division, write the quotient in each case below the number.
Step 3 = If any number is not divisible by its respective divisor, it is to be written as such in the next line.
Step 4 = Keep on dividing the quotient until you get 1(as quotient of all) in the last row.
Step 5 = Multiply all the divisors to get LCM of given numbers.
Step 6 = Hence, LCM = 2 × 2 × 2 × 3 × 5     = 120.