Least Common Multiple of 814, 715, 312

Q: How to Find the LCM of 814, 715, 312 ?

Least Common Multiple of 814, 715, 312 = 634920 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(814, 715, 312) = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 37 = 634920.

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 814, 715, 312 i.e. 634920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 715, 312 is 634920.

LCM(814, 715, 312) = 634920

LCM of 814, 715, 312

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

Least Common Multiple of 814, 715, 312 by common division method
Least Common Multiple of 814, 715, 312 with GCF Formula

Least Common Multiple of 814,715,312

Least Common Multiple (LCM) of 814,715,312 is 634920

2	814, 715, 312
11	407, 715, 156
13	37, 65, 156
	37, 5, 12

∴ So the LCM of the given numbers is 2 x 11 x 13 x 37 x 5 x 12 = 634920

Least Common Multiple of 814,715,312 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 814,715,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,715,312) = 1

common factors(in case of two or more numbers have common factors) = 286

GCF(814,715,312) x common factors =1 x 286 = 286

LCM(814,715,312) = ( 814 × 715 × 312 ) / 286

LCM(814,715,312) = 181587120 / 286

LCM(814,715,312) = 634920

∴ Least Common Multiple of 814,715,312 is 634920

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 814, 715, 312

1. What is the LCM of 814, 715, 312?

Answer: LCM of 814, 715, 312 is 634920.

2. What are the Factors of 634920?

Answer: Factors of 634920 are . There are integers that are factors of 634920

3. How to Find the LCM of 814, 715, 312 ?

Least Common Multiple of 814, 715, 312.

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(814, 715, 312) = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 37 = 634920.