Least Common Multiple of 51/264, 51/558, 816/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/264, 51/558, 816/285 quickly i.e. 272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/264, 51/558, 816/285 is 272.

LCM(51/264, 51/558, 816/285) = 272

LCM of 51/264, 51/558, 816/285

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/264,51/558,816/285

Given numbers are 51/264,51/558,816/285

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 51,51,816

Least Common Multiple of Numerators i.e. LCM of 51,51,816 is 816.

GCF of Denominators means GCF of 264,558,285 as per the given fractions.

GCF of 264,558,285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,51,816

LCM of Fractions 51/264,51/558,816/285 is 272

3 51, 51, 816
17 17, 17, 272
1, 1, 16

∴ So the LCM of the given numbers is 3 x 17 x 1 x 1 x 16 = 816

Least Common Multiple of 51,51,816 with GCF Formula

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

GCF(51,51,816) = 51

common factors(in case of two or more numbers have common factors) = 51

GCF(51,51,816) x common factors =51 x 51 = 2601

LCM(51,51,816) = ( 51 × 51 × 816 ) / 2601

LCM(51,51,816) = 2122416 / 2601

LCM(51,51,816) = 816


Lets's calculate GCF of 264,558,285

3 264, 558, 285
88, 186, 95

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816/3

Therefore the LCM of Fractions 51/264,51/558,816/285 is 272

Greatest Common Factor of 264,558,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,558,285 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 264,558,285 . The biggest common factor number is the GCF number.
So the greatest common factor 264,558,285 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/264, 51/558, 816/285

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 51/264, 51/558, 816/285?

Answer: LCM of Numerators as per given numbers 51/264, 51/558, 816/285 is

LCM of Numerators i.e. for 51,51,816 is 816

GCF of denominators i.e. for 264,558,285 is 3.

Thus, LCM of Fractions is 272.Finally, LCM of Fractions for 51/264, 51/558, 816/285 is 272.