Least Common Multiple of 87/678, 564/14, 753/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/678, 564/14, 753/182 quickly i.e. 2052678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/678, 564/14, 753/182 is 2052678.

LCM(87/678, 564/14, 753/182) = 2052678

LCM of 87/678, 564/14, 753/182

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 87/678,564/14,753/182

Given numbers are 87/678,564/14,753/182

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 87,564,753

Least Common Multiple of Numerators i.e. LCM of 87,564,753 is 4105356.

GCF of Denominators means GCF of 678,14,182 as per the given fractions.

GCF of 678,14,182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,564,753

LCM of Fractions 87/678,564/14,753/182 is 2052678

3 87, 564, 753
29, 188, 251

∴ So the LCM of the given numbers is 3 x 29 x 188 x 251 = 4105356

Least Common Multiple of 87,564,753 with GCF Formula

Least Common Multiple of 87,564,753 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 87,564,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,564,753) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,564,753) x common factors =3 x 3 = 9

LCM(87,564,753) = ( 87 × 564 × 753 ) / 9

LCM(87,564,753) = 36948204 / 9

LCM(87,564,753) = 4105356


Lets's calculate GCF of 678,14,182

2 678, 14, 182
339, 7, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4105356/2

Therefore the LCM of Fractions 87/678,564/14,753/182 is 2052678

Greatest Common Factor of 678,14,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,14,182 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 678,14,182 . The biggest common factor number is the GCF number.
So the greatest common factor 678,14,182 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 87/678, 564/14, 753/182

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 87/678, 564/14, 753/182?

Answer: LCM of Numerators as per given numbers 87/678, 564/14, 753/182 is

LCM of Numerators i.e. for 87,564,753 is 4105356

GCF of denominators i.e. for 678,14,182 is 2.

Thus, LCM of Fractions is 2052678.Finally, LCM of Fractions for 87/678, 564/14, 753/182 is 2052678.