Least Common Multiple of 319, 924, 72

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 319, 924, 72 i.e. 160776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 319, 924, 72 is 160776.

LCM(319, 924, 72) = 160776

LCM of 319, 924, 72

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

LCM of:

Least Common Multiple of 319,924,72

Least Common Multiple (LCM) of 319,924,72 is 160776

2 319, 924, 72
2 319, 462, 36
3 319, 231, 18
11 319, 77, 6
29, 7, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 29 x 7 x 6 = 160776

Least Common Multiple of 319,924,72 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 319,924,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,924,72) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(319,924,72) x common factors =1 x 132 = 132

LCM(319,924,72) = ( 319 × 924 × 72 ) / 132

LCM(319,924,72) = 21222432 / 132

LCM(319,924,72) = 160776

∴ Least Common Multiple of 319,924,72 is 160776

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 319, 924, 72

1. What is the LCM of 319, 924, 72?

Answer: LCM of 319, 924, 72 is 160776.

2. What are the Factors of 160776?

Answer: Factors of 160776 are . There are integers that are factors of 160776

3. How to Find the LCM of 319, 924, 72 ?

Least Common Multiple of 319, 924, 72.

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(319, 924, 72) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 29 = 160776.