Least Common Multiple of 651/87, 564/5107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 651/87, 564/5107 quickly i.e. 122388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/87, 564/5107 is 122388.

LCM(651/87, 564/5107) = 122388

LCM of 651/87, 564/5107

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 651/87,564/5107

Given numbers are 651/87,564/5107

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 651,564

Least Common Multiple of Numerators i.e. LCM of 651,564 is 122388.

GCF of Denominators means GCF of 87,5107 as per the given fractions.

GCF of 87,5107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,564

LCM of Fractions 651/87,564/5107 is 122388

3 651, 564
217, 188

∴ So the LCM of the given numbers is 3 x 217 x 188 = 122388

Least Common Multiple of 651,564 with GCF Formula

Least Common Multiple of 651,564 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 651,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,564) = 3

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

GCF(651,564) x common factors =3 x 1 = 3

LCM(651,564) = ( 651 × 564 ) / 3

LCM(651,564) = 367164 / 3

LCM(651,564) = 122388


Lets's calculate GCF of 87,5107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122388/1

Therefore the LCM of Fractions 651/87,564/5107 is 122388

Greatest Common Factor of 87,5107 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,5107 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 5107

List of positive integer factors of 5107 that divides 5107 without a remainder.

1,5107

Greatest Common Factor

We found the factors 87,5107 . The biggest common factor number is the GCF number.
So the greatest common factor 87,5107 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 651/87, 564/5107

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 651/87, 564/5107?

Answer: LCM of Numerators as per given numbers 651/87, 564/5107 is

LCM of Numerators i.e. for 651,564 is 122388

GCF of denominators i.e. for 87,5107 is 1.

Thus, LCM of Fractions is 122388.Finally, LCM of Fractions for 651/87, 564/5107 is 122388.