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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.


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