L.C.M using Common Division Method.

 L.C.M Using Common Division Method:

Step-1: Divide the given numbers with their common prime factors.

Step-2: Divide till the given numbers have no common prime factors.

Step-3: Finally multiply the common prime factors and the remainders to obtain L.C.M of the given numbers.

 

Find L.C.M of numbers using Common Division method:

1) 86, 68, 20.

Answer:

Step-1: Divide the given numbers with their common prime factors.

Step-2: Common Prime factors= 2 ,2.

              Remainders = 43, 17, 5.

Step-3: Multiply the Common Prime Factors and the remainders to obtain L.C.M of the given numbers.

Therefore, L.C.M of 86, 68, 20 = Common Prime factors * Remainders = (2 * 2 )(43 * 17 * 5) = 4 * 43 * 85 = 14620.

 

2) 102, 170, 136.

Answer:

Step-1: Divide the given numbers with their common prime factors.

Step-2: Common Prime Factors = 17, 2, 2.

              Remainders = 3, 5, 2.

Step-3: Multiply the Common Prime Factors and the remainders to obtain L.C.M of the given numbers.

Therefore, L.C.M of 102, 170, 136 = Common Prime factors * Remainders = (17* 2* 2)(3 * 5 * 2) = 68 * 30 = 2040.  

 

3) 36, 18, 9.

Answer:

Step-1: Divide the given numbers with their Common Prime Factors.

Step-2: Common Prime Factors = 3, 3, 2.

              Remainder = 2.

Step-3: Multiply the Common Prime Factors and the remainders to obtain L.C.M of the given numbers.

Therefore, L.C.M of 36, 18, 9 = Common Prime Factors * Remainders = (3 * 3 * 2)(2) = 18 * 2 = 36.

4) 120, 150, 135.

Answer:

Step-1: Divide the given numbers with their Common Prime Factors.

Step-2: Common Prime Factors = 5, 3, 2, 2, 3.

              Remainders = 2, 5, 3.

Step-3: Multiply the Common Prime Factors and the remainders to obtain L.C.M of the given numbers.

Therefore, L.C.M of 120, 150, 135 = Common Prime Factors * Remainders = (5 * 3 * 2* 2 * 3)(2 * 5 * 3) = 180 * 30 = 5400.