Least Common Multiple of 52, 39, 72, 414

Q: How to Find the LCM of 52, 39, 72, 414 ?

Least Common Multiple of 52, 39, 72, 414 = 21528 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(52, 39, 72, 414) = 2 x 2 x 2 x 3 x 3 x 13 x 23 = 21528.

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 52, 39, 72, 414 i.e. 21528 smallest integer divisible by all numbers.

Least common multiple (LCM) of 52, 39, 72, 414 is 21528.

LCM(52, 39, 72, 414) = 21528

LCM of 52, 39, 72, 414

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

Least Common Multiple of 52, 39, 72, 414 by common division method
Least Common Multiple of 52, 39, 72, 414 with GCF Formula

Least Common Multiple of 52,39,72,414

Least Common Multiple (LCM) of 52,39,72,414 is 21528

2	52, 39, 72, 414
2	26, 39, 36, 207
3	13, 39, 18, 207
3	13, 13, 6, 69
13	13, 13, 2, 23
	1, 1, 2, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 1 x 1 x 2 x 23 = 21528

Least Common Multiple of 52,39,72,414 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 52,39,72,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,39,72,414) = 1

common factors(in case of two or more numbers have common factors) = 2808

GCF(52,39,72,414) x common factors =1 x 2808 = 2808

LCM(52,39,72,414) = ( 52 × 39 × 72 × 414 ) / 2808

LCM(52,39,72,414) = 60450624 / 2808

LCM(52,39,72,414) = 21528

∴ Least Common Multiple of 52,39,72,414 is 21528

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 52, 39, 72, 414

1. What is the LCM of 52, 39, 72, 414?

Answer: LCM of 52, 39, 72, 414 is 21528.

2. What are the Factors of 21528?

Answer: Factors of 21528 are . There are integers that are factors of 21528

3. How to Find the LCM of 52, 39, 72, 414 ?

Least Common Multiple of 52, 39, 72, 414.

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(52, 39, 72, 414) = 2 x 2 x 2 x 3 x 3 x 13 x 23 = 21528.