Least Common Multiple of 31, 34, 68, 126

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 31, 34, 68, 126 i.e. 132804 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 34, 68, 126 is 132804.

LCM(31, 34, 68, 126) = 132804

LCM of 31, 34, 68, 126

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

LCM of:

Least Common Multiple of 31,34,68,126

Least Common Multiple (LCM) of 31,34,68,126 is 132804

2 31, 34, 68, 126
17 31, 17, 34, 63
31, 1, 2, 63

∴ So the LCM of the given numbers is 2 x 17 x 31 x 1 x 2 x 63 = 132804

Least Common Multiple of 31,34,68,126 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 31,34,68,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,34,68,126) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(31,34,68,126) x common factors =1 x 68 = 68

LCM(31,34,68,126) = ( 31 × 34 × 68 × 126 ) / 68

LCM(31,34,68,126) = 9030672 / 68

LCM(31,34,68,126) = 132804

∴ Least Common Multiple of 31,34,68,126 is 132804

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 31, 34, 68, 126

1. What is the LCM of 31, 34, 68, 126?

Answer: LCM of 31, 34, 68, 126 is 132804.

2. What are the Factors of 132804?

Answer: Factors of 132804 are . There are integers that are factors of 132804

3. How to Find the LCM of 31, 34, 68, 126 ?

Least Common Multiple of 31, 34, 68, 126.

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(31, 34, 68, 126) = 2 x 2 x 3 x 3 x 7 x 17 x 31 = 132804.