Least Common Multiple of 29, 54, 57, 684

Q: How to Find the LCM of 29, 54, 57, 684 ?

Least Common Multiple of 29, 54, 57, 684 = 59508 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(29, 54, 57, 684) = 2 x 2 x 3 x 3 x 3 x 19 x 29 = 59508.

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 29, 54, 57, 684 i.e. 59508 smallest integer divisible by all numbers.

Least common multiple (LCM) of 29, 54, 57, 684 is 59508.

LCM(29, 54, 57, 684) = 59508

LCM of 29, 54, 57, 684

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

Least Common Multiple of 29, 54, 57, 684 by common division method
Least Common Multiple of 29, 54, 57, 684 with GCF Formula

Least Common Multiple of 29,54,57,684

Least Common Multiple (LCM) of 29,54,57,684 is 59508

2	29, 54, 57, 684
3	29, 27, 57, 342
3	29, 9, 19, 114
19	29, 3, 19, 38
	29, 3, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 29 x 3 x 1 x 2 = 59508

Least Common Multiple of 29,54,57,684 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 29,54,57,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,54,57,684) = 1

common factors(in case of two or more numbers have common factors) = 1026

GCF(29,54,57,684) x common factors =1 x 1026 = 1026

LCM(29,54,57,684) = ( 29 × 54 × 57 × 684 ) / 1026

LCM(29,54,57,684) = 61055208 / 1026

LCM(29,54,57,684) = 59508

∴ Least Common Multiple of 29,54,57,684 is 59508

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 29, 54, 57, 684

1. What is the LCM of 29, 54, 57, 684?

Answer: LCM of 29, 54, 57, 684 is 59508.

2. What are the Factors of 59508?

Answer: Factors of 59508 are . There are integers that are factors of 59508

3. How to Find the LCM of 29, 54, 57, 684 ?

Least Common Multiple of 29, 54, 57, 684.

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(29, 54, 57, 684) = 2 x 2 x 3 x 3 x 3 x 19 x 29 = 59508.