Least Common Multiple of 564/716, 6748/2366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/716, 6748/2366 quickly i.e. 475734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/716, 6748/2366 is 475734.

LCM(564/716, 6748/2366) = 475734

LCM of 564/716, 6748/2366

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 564/716,6748/2366

Given numbers are 564/716,6748/2366

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 564,6748

Least Common Multiple of Numerators i.e. LCM of 564,6748 is 951468.

GCF of Denominators means GCF of 716,2366 as per the given fractions.

GCF of 716,2366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,6748

LCM of Fractions 564/716,6748/2366 is 475734

2 564, 6748
2 282, 3374
141, 1687

∴ So the LCM of the given numbers is 2 x 2 x 141 x 1687 = 951468

Least Common Multiple of 564,6748 with GCF Formula

Least Common Multiple of 564,6748 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 564,6748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,6748) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(564,6748) x common factors =4 x 1 = 4

LCM(564,6748) = ( 564 × 6748 ) / 4

LCM(564,6748) = 3805872 / 4

LCM(564,6748) = 951468


Lets's calculate GCF of 716,2366

2 716, 2366
358, 1183

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951468/2

Therefore the LCM of Fractions 564/716,6748/2366 is 475734

Greatest Common Factor of 716,2366 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,2366 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 2366

List of positive integer factors of 2366 that divides 2366 without a remainder.

1,2,7,13,14,26,91,169,182,338,1183,2366

Greatest Common Factor

We found the factors 716,2366 . The biggest common factor number is the GCF number.
So the greatest common factor 716,2366 is 2.


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 564/716, 6748/2366

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 564/716, 6748/2366?

Answer: LCM of Numerators as per given numbers 564/716, 6748/2366 is

LCM of Numerators i.e. for 564,6748 is 951468

GCF of denominators i.e. for 716,2366 is 2.

Thus, LCM of Fractions is 475734.Finally, LCM of Fractions for 564/716, 6748/2366 is 475734.