Least Common Multiple of 21, 36, 65, 52, 338

Q: How to Find the LCM of 21, 36, 65, 52, 338 ?

Least Common Multiple of 21, 36, 65, 52, 338 = 212940 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, 36, 65, 52, 338) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 13 = 212940.

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, 36, 65, 52, 338 i.e. 212940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 36, 65, 52, 338 is 212940.

LCM(21, 36, 65, 52, 338) = 212940

LCM of 21, 36, 65, 52, 338

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

Least Common Multiple of 21, 36, 65, 52, 338 by common division method
Least Common Multiple of 21, 36, 65, 52, 338 with GCF Formula

Least Common Multiple of 21,36,65,52,338

Least Common Multiple (LCM) of 21,36,65,52,338 is 212940

2	21, 36, 65, 52, 338
2	21, 18, 65, 26, 169
3	21, 9, 65, 13, 169
13	7, 3, 65, 13, 169
	7, 3, 5, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 7 x 3 x 5 x 1 x 13 = 212940

Least Common Multiple of 21,36,65,52,338 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 21,36,65,52,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,36,65,52,338) = 1

common factors(in case of two or more numbers have common factors) = 4056

GCF(21,36,65,52,338) x common factors =1 x 4056 = 4056

LCM(21,36,65,52,338) = ( 21 × 36 × 65 × 52 × 338 ) / 4056

LCM(21,36,65,52,338) = 863684640 / 4056

LCM(21,36,65,52,338) = 212940

∴ Least Common Multiple of 21,36,65,52,338 is 212940

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, 36, 65, 52, 338

1. What is the LCM of 21, 36, 65, 52, 338?

Answer: LCM of 21, 36, 65, 52, 338 is 212940.

2. What are the Factors of 212940?

Answer: Factors of 212940 are . There are integers that are factors of 212940

3. How to Find the LCM of 21, 36, 65, 52, 338 ?

Least Common Multiple of 21, 36, 65, 52, 338.

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, 36, 65, 52, 338) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 13 = 212940.