Least Common Multiple of 21, 33, 17, 88, 364

Q: How to Find the LCM of 21, 33, 17, 88, 364 ?

Least Common Multiple of 21, 33, 17, 88, 364 = 408408 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, 33, 17, 88, 364) = 2 x 2 x 2 x 3 x 7 x 11 x 13 x 17 = 408408.

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, 33, 17, 88, 364 i.e. 408408 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 33, 17, 88, 364 is 408408.

LCM(21, 33, 17, 88, 364) = 408408

LCM of 21, 33, 17, 88, 364

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

Least Common Multiple of 21, 33, 17, 88, 364 by common division method
Least Common Multiple of 21, 33, 17, 88, 364 with GCF Formula

Least Common Multiple of 21,33,17,88,364

Least Common Multiple (LCM) of 21,33,17,88,364 is 408408

2	21, 33, 17, 88, 364
2	21, 33, 17, 44, 182
3	21, 33, 17, 22, 91
7	7, 11, 17, 22, 91
11	1, 11, 17, 22, 13
	1, 1, 17, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 1 x 1 x 17 x 2 x 13 = 408408

Least Common Multiple of 21,33,17,88,364 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 21,33,17,88,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,33,17,88,364) = 1

common factors(in case of two or more numbers have common factors) = 924

GCF(21,33,17,88,364) x common factors =1 x 924 = 924

LCM(21,33,17,88,364) = ( 21 × 33 × 17 × 88 × 364 ) / 924

LCM(21,33,17,88,364) = 377368992 / 924

LCM(21,33,17,88,364) = 408408

∴ Least Common Multiple of 21,33,17,88,364 is 408408

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 21, 33, 17, 88, 364

1. What is the LCM of 21, 33, 17, 88, 364?

Answer: LCM of 21, 33, 17, 88, 364 is 408408.

2. What are the Factors of 408408?

Answer: Factors of 408408 are . There are integers that are factors of 408408

3. How to Find the LCM of 21, 33, 17, 88, 364 ?

Least Common Multiple of 21, 33, 17, 88, 364.

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, 33, 17, 88, 364) = 2 x 2 x 2 x 3 x 7 x 11 x 13 x 17 = 408408.