Least Common Multiple of 72, 814, 538

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 72, 814, 538 i.e. 7882776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 814, 538 is 7882776.

LCM(72, 814, 538) = 7882776

LCM of 72, 814, 538

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

LCM of:

Least Common Multiple of 72,814,538

Least Common Multiple (LCM) of 72,814,538 is 7882776

2 72, 814, 538
36, 407, 269

∴ So the LCM of the given numbers is 2 x 36 x 407 x 269 = 7882776

Least Common Multiple of 72,814,538 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 72,814,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,814,538) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(72,814,538) x common factors =2 x 2 = 4

LCM(72,814,538) = ( 72 × 814 × 538 ) / 4

LCM(72,814,538) = 31531104 / 4

LCM(72,814,538) = 7882776

∴ Least Common Multiple of 72,814,538 is 7882776

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 72, 814, 538

1. What is the LCM of 72, 814, 538?

Answer: LCM of 72, 814, 538 is 7882776.

2. What are the Factors of 7882776?

Answer: Factors of 7882776 are . There are integers that are factors of 7882776

3. How to Find the LCM of 72, 814, 538 ?

Least Common Multiple of 72, 814, 538.

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(72, 814, 538) = 2 x 2 x 2 x 3 x 3 x 11 x 37 x 269 = 7882776.