Least Common Multiple of 906, 453, 96

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 906, 453, 96 i.e. 14496 smallest integer divisible by all numbers.

Least common multiple (LCM) of 906, 453, 96 is 14496.

LCM(906, 453, 96) = 14496

LCM of 906, 453, 96

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

LCM of:

Least Common Multiple of 906,453,96

Least Common Multiple (LCM) of 906,453,96 is 14496

2 906, 453, 96
3 453, 453, 48
151 151, 151, 16
1, 1, 16

∴ So the LCM of the given numbers is 2 x 3 x 151 x 1 x 1 x 16 = 14496

Least Common Multiple of 906,453,96 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 906,453,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,453,96) = 3

common factors(in case of two or more numbers have common factors) = 906

GCF(906,453,96) x common factors =3 x 906 = 2718

LCM(906,453,96) = ( 906 × 453 × 96 ) / 2718

LCM(906,453,96) = 39400128 / 2718

LCM(906,453,96) = 14496

∴ Least Common Multiple of 906,453,96 is 14496

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 906, 453, 96

1. What is the LCM of 906, 453, 96?

Answer: LCM of 906, 453, 96 is 14496.

2. What are the Factors of 14496?

Answer: Factors of 14496 are . There are integers that are factors of 14496

3. How to Find the LCM of 906, 453, 96 ?

Least Common Multiple of 906, 453, 96.

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(906, 453, 96) = 2 x 2 x 2 x 2 x 2 x 3 x 151 = 14496.