Least Common Multiple of 264/92, 718/51, 616/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/92, 718/51, 616/57 quickly i.e. 663432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/92, 718/51, 616/57 is 663432.

LCM(264/92, 718/51, 616/57) = 663432

LCM of 264/92, 718/51, 616/57

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 264/92,718/51,616/57

Given numbers are 264/92,718/51,616/57

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 264,718,616

Least Common Multiple of Numerators i.e. LCM of 264,718,616 is 663432.

GCF of Denominators means GCF of 92,51,57 as per the given fractions.

GCF of 92,51,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,718,616

LCM of Fractions 264/92,718/51,616/57 is 663432

2 264, 718, 616
2 132, 359, 308
2 66, 359, 154
11 33, 359, 77
3, 359, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 3 x 359 x 7 = 663432

Least Common Multiple of 264,718,616 with GCF Formula

Least Common Multiple of 264,718,616 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 264,718,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,718,616) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(264,718,616) x common factors =2 x 88 = 176

LCM(264,718,616) = ( 264 × 718 × 616 ) / 176

LCM(264,718,616) = 116764032 / 176

LCM(264,718,616) = 663432


Lets's calculate GCF of 92,51,57

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 663432/1

Therefore the LCM of Fractions 264/92,718/51,616/57 is 663432

Greatest Common Factor of 92,51,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,51,57 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 92,51,57 . The biggest common factor number is the GCF number.
So the greatest common factor 92,51,57 is 1.


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 264/92, 718/51, 616/57

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 264/92, 718/51, 616/57?

Answer: LCM of Numerators as per given numbers 264/92, 718/51, 616/57 is

LCM of Numerators i.e. for 264,718,616 is 663432

GCF of denominators i.e. for 92,51,57 is 1.

Thus, LCM of Fractions is 663432.Finally, LCM of Fractions for 264/92, 718/51, 616/57 is 663432.