Least Common Multiple of 924, 992, 31

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 924, 992, 31 i.e. 229152 smallest integer divisible by all numbers.

Least common multiple (LCM) of 924, 992, 31 is 229152.

LCM(924, 992, 31) = 229152

LCM of 924, 992, 31

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

LCM of:

Least Common Multiple of 924,992,31

Least Common Multiple (LCM) of 924,992,31 is 229152

2 924, 992, 31
2 462, 496, 31
31 231, 248, 31
231, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 31 x 231 x 8 x 1 = 229152

Least Common Multiple of 924,992,31 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 924,992,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,992,31) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(924,992,31) x common factors =1 x 124 = 124

LCM(924,992,31) = ( 924 × 992 × 31 ) / 124

LCM(924,992,31) = 28414848 / 124

LCM(924,992,31) = 229152

∴ Least Common Multiple of 924,992,31 is 229152

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 924, 992, 31

1. What is the LCM of 924, 992, 31?

Answer: LCM of 924, 992, 31 is 229152.

2. What are the Factors of 229152?

Answer: Factors of 229152 are . There are integers that are factors of 229152

3. How to Find the LCM of 924, 992, 31 ?

Least Common Multiple of 924, 992, 31.

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(924, 992, 31) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 31 = 229152.