Least Common Multiple of 54, 51, 816

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, 51, 816 i.e. 7344 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 51, 816 is 7344.

LCM(54, 51, 816) = 7344

LCM of 54, 51, 816

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

LCM of:

Least Common Multiple of 54,51,816

Least Common Multiple (LCM) of 54,51,816 is 7344

2 54, 51, 816
3 27, 51, 408
17 9, 17, 136
9, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 17 x 9 x 1 x 8 = 7344

Least Common Multiple of 54,51,816 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 54,51,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,51,816) = 3

common factors(in case of two or more numbers have common factors) = 102

GCF(54,51,816) x common factors =3 x 102 = 306

LCM(54,51,816) = ( 54 × 51 × 816 ) / 306

LCM(54,51,816) = 2247264 / 306

LCM(54,51,816) = 7344

∴ Least Common Multiple of 54,51,816 is 7344

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 51, 816

1. What is the LCM of 54, 51, 816?

Answer: LCM of 54, 51, 816 is 7344.

2. What are the Factors of 7344?

Answer: Factors of 7344 are . There are integers that are factors of 7344

3. How to Find the LCM of 54, 51, 816 ?

Least Common Multiple of 54, 51, 816.

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, 51, 816) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 = 7344.