Least Common Multiple of 49, 76, 68, 102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 49, 76, 68, 102 i.e. 189924 smallest integer divisible by all numbers.

Least common multiple (LCM) of 49, 76, 68, 102 is 189924.

LCM(49, 76, 68, 102) = 189924

LCM of 49, 76, 68, 102

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 49,76,68,102

Least Common Multiple (LCM) of 49,76,68,102 is 189924

2 49, 76, 68, 102
2 49, 38, 34, 51
17 49, 19, 17, 51
49, 19, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 17 x 49 x 19 x 1 x 3 = 189924

Least Common Multiple of 49,76,68,102 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,76,68,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,76,68,102) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(49,76,68,102) x common factors =1 x 136 = 136

LCM(49,76,68,102) = ( 49 × 76 × 68 × 102 ) / 136

LCM(49,76,68,102) = 25829664 / 136

LCM(49,76,68,102) = 189924

∴ Least Common Multiple of 49,76,68,102 is 189924

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 49, 76, 68, 102

1. What is the LCM of 49, 76, 68, 102?

Answer: LCM of 49, 76, 68, 102 is 189924.

2. What are the Factors of 189924?

Answer: Factors of 189924 are . There are integers that are factors of 189924

3. How to Find the LCM of 49, 76, 68, 102 ?

Least Common Multiple of 49, 76, 68, 102.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(49, 76, 68, 102) = 2 x 2 x 3 x 7 x 7 x 17 x 19 = 189924.