Least Common Multiple of 86, 31, 744

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 86, 31, 744 i.e. 31992 smallest integer divisible by all numbers.

Least common multiple (LCM) of 86, 31, 744 is 31992.

LCM(86, 31, 744) = 31992

LCM of 86, 31, 744

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

LCM of:

Least Common Multiple of 86,31,744

Least Common Multiple (LCM) of 86,31,744 is 31992

2 86, 31, 744
31 43, 31, 372
43, 1, 12

∴ So the LCM of the given numbers is 2 x 31 x 43 x 1 x 12 = 31992

Least Common Multiple of 86,31,744 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 86,31,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,31,744) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(86,31,744) x common factors =1 x 62 = 62

LCM(86,31,744) = ( 86 × 31 × 744 ) / 62

LCM(86,31,744) = 1983504 / 62

LCM(86,31,744) = 31992

∴ Least Common Multiple of 86,31,744 is 31992

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 86, 31, 744

1. What is the LCM of 86, 31, 744?

Answer: LCM of 86, 31, 744 is 31992.

2. What are the Factors of 31992?

Answer: Factors of 31992 are . There are integers that are factors of 31992

3. How to Find the LCM of 86, 31, 744 ?

Least Common Multiple of 86, 31, 744.

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(86, 31, 744) = 2 x 2 x 2 x 3 x 31 x 43 = 31992.