Least Common Multiple of 316, 214, 465

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 316, 214, 465 i.e. 15722580 smallest integer divisible by all numbers.

Least common multiple (LCM) of 316, 214, 465 is 15722580.

LCM(316, 214, 465) = 15722580

LCM of 316, 214, 465

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

LCM of:

Least Common Multiple of 316,214,465

Least Common Multiple (LCM) of 316,214,465 is 15722580

2 316, 214, 465
158, 107, 465

∴ So the LCM of the given numbers is 2 x 158 x 107 x 465 = 15722580

Least Common Multiple of 316,214,465 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 316,214,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,214,465) = 1

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

GCF(316,214,465) x common factors =1 x 2 = 2

LCM(316,214,465) = ( 316 × 214 × 465 ) / 2

LCM(316,214,465) = 31445160 / 2

LCM(316,214,465) = 15722580

∴ Least Common Multiple of 316,214,465 is 15722580

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 316, 214, 465

1. What is the LCM of 316, 214, 465?

Answer: LCM of 316, 214, 465 is 15722580.

2. What are the Factors of 15722580?

Answer: Factors of 15722580 are . There are integers that are factors of 15722580

3. How to Find the LCM of 316, 214, 465 ?

Least Common Multiple of 316, 214, 465.

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(316, 214, 465) = 2 x 2 x 3 x 5 x 31 x 79 x 107 = 15722580.