Least Common Multiple of 428, 576, 906

Q: How to Find the LCM of 428, 576, 906 ?

Least Common Multiple of 428, 576, 906 = 9306432 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(428, 576, 906) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 107 x 151 = 9306432.

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 428, 576, 906 i.e. 9306432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 428, 576, 906 is 9306432.

LCM(428, 576, 906) = 9306432

LCM of 428, 576, 906

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

Least Common Multiple of 428, 576, 906 by common division method
Least Common Multiple of 428, 576, 906 with GCF Formula

Least Common Multiple of 428,576,906

Least Common Multiple (LCM) of 428,576,906 is 9306432

2	428, 576, 906
2	214, 288, 453
3	107, 144, 453
	107, 48, 151

∴ So the LCM of the given numbers is 2 x 2 x 3 x 107 x 48 x 151 = 9306432

Least Common Multiple of 428,576,906 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 428,576,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,576,906) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(428,576,906) x common factors =2 x 12 = 24

LCM(428,576,906) = ( 428 × 576 × 906 ) / 24

LCM(428,576,906) = 223354368 / 24

LCM(428,576,906) = 9306432

∴ Least Common Multiple of 428,576,906 is 9306432

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 428, 576, 906

1. What is the LCM of 428, 576, 906?

Answer: LCM of 428, 576, 906 is 9306432.

2. What are the Factors of 9306432?

Answer: Factors of 9306432 are . There are integers that are factors of 9306432

3. How to Find the LCM of 428, 576, 906 ?

Least Common Multiple of 428, 576, 906.

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(428, 576, 906) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 107 x 151 = 9306432.