Least Common Multiple of 54, 36, 69, 432

Q: How to Find the LCM of 54, 36, 69, 432 ?

Least Common Multiple of 54, 36, 69, 432 = 9936 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(54, 36, 69, 432) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23 = 9936.

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 54, 36, 69, 432 i.e. 9936 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 36, 69, 432 is 9936.

LCM(54, 36, 69, 432) = 9936

LCM of 54, 36, 69, 432

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

Least Common Multiple of 54, 36, 69, 432 by common division method
Least Common Multiple of 54, 36, 69, 432 with GCF Formula

Least Common Multiple of 54,36,69,432

Least Common Multiple (LCM) of 54,36,69,432 is 9936

2	54, 36, 69, 432
2	27, 18, 69, 216
3	27, 9, 69, 108
3	3, 9, 23, 36
3	1, 3, 23, 12
	1, 1, 23, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 1 x 23 x 4 = 9936

Least Common Multiple of 54,36,69,432 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 54,36,69,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,36,69,432) = 3

common factors(in case of two or more numbers have common factors) = 1944

GCF(54,36,69,432) x common factors =3 x 1944 = 5832

LCM(54,36,69,432) = ( 54 × 36 × 69 × 432 ) / 5832

LCM(54,36,69,432) = 57946752 / 5832

LCM(54,36,69,432) = 9936

∴ Least Common Multiple of 54,36,69,432 is 9936

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 36, 69, 432

1. What is the LCM of 54, 36, 69, 432?

Answer: LCM of 54, 36, 69, 432 is 9936.

2. What are the Factors of 9936?

Answer: Factors of 9936 are . There are integers that are factors of 9936

3. How to Find the LCM of 54, 36, 69, 432 ?

Least Common Multiple of 54, 36, 69, 432.

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(54, 36, 69, 432) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23 = 9936.