Least Common Multiple of 21, 74, 209

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 21, 74, 209 i.e. 324786 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 74, 209 is 324786.

LCM(21, 74, 209) = 324786

LCM of 21, 74, 209

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

LCM of:

Least Common Multiple of 21,74,209

Least Common Multiple (LCM) of 21,74,209 is 324786

Given numbers has no common factors except 1. So, there LCM is their product i.e 324786

Least Common Multiple of 21,74,209 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 21,74,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,74,209) = 1

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

GCF(21,74,209) x common factors =1 x 1 = 1

LCM(21,74,209) = ( 21 × 74 × 209 ) / 1

LCM(21,74,209) = 324786 / 1

LCM(21,74,209) = 324786

∴ Least Common Multiple of 21,74,209 is 324786

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 21, 74, 209

1. What is the LCM of 21, 74, 209?

Answer: LCM of 21, 74, 209 is 324786.

2. What are the Factors of 324786?

Answer: Factors of 324786 are . There are integers that are factors of 324786

3. How to Find the LCM of 21, 74, 209 ?

Least Common Multiple of 21, 74, 209.

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(21, 74, 209) = 2 x 3 x 7 x 11 x 19 x 37 = 324786.