Least Common Multiple of 214, 321

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 214, 321 i.e. 642 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 321 is 642.

LCM(214, 321) = 642

LCM of 214, 321

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

LCM of:

Least Common Multiple of 214,321

Least Common Multiple (LCM) of 214,321 is 642

107 214, 321
2, 3

∴ So the LCM of the given numbers is 107 x 2 x 3 = 642

Least Common Multiple of 214,321 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 214,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,321) = 107

common factors(in case of two or more numbers have common factors) = 1

GCF(214,321) x common factors =107 x 1 = 107

LCM(214,321) = ( 214 × 321 ) / 107

LCM(214,321) = 68694 / 107

LCM(214,321) = 642

∴ Least Common Multiple of 214,321 is 642

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 214, 321

1. What is the LCM of 214, 321?

Answer: LCM of 214, 321 is 642.

2. What are the Factors of 642?

Answer: Factors of 642 are . There are integers that are factors of 642

3. How to Find the LCM of 214, 321 ?

Least Common Multiple of 214, 321.

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(214, 321) = 2 x 3 x 107 = 642.