Least Common Multiple of 908/642, 7884/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/642, 7884/856 quickly i.e. 1789668/214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/642, 7884/856 is 1789668/214.

LCM(908/642, 7884/856) = 1789668/214

LCM of 908/642, 7884/856

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 908/642,7884/856

Given numbers are 908/642,7884/856

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 908,7884

Least Common Multiple of Numerators i.e. LCM of 908,7884 is 1789668.

GCF of Denominators means GCF of 642,856 as per the given fractions.

GCF of 642,856 is 214 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,7884

LCM of Fractions 908/642,7884/856 is 1789668/214

2 908, 7884
2 454, 3942
227, 1971

∴ So the LCM of the given numbers is 2 x 2 x 227 x 1971 = 1789668

Least Common Multiple of 908,7884 with GCF Formula

Least Common Multiple of 908,7884 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 908,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,7884) = 4

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

GCF(908,7884) x common factors =4 x 1 = 4

LCM(908,7884) = ( 908 × 7884 ) / 4

LCM(908,7884) = 7158672 / 4

LCM(908,7884) = 1789668


Lets's calculate GCF of 642,856

2 642, 856
107 321, 428
3, 4

∴ So the GCF of the given numbers is 2 x 107 = 214

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1789668/214

Therefore the LCM of Fractions 908/642,7884/856 is 1789668/214

Greatest Common Factor of 642,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,856 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 642,856 . The biggest common factor number is the GCF number.
So the greatest common factor 642,856 is 214.


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 908/642, 7884/856

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 908/642, 7884/856?

Answer: LCM of Numerators as per given numbers 908/642, 7884/856 is

LCM of Numerators i.e. for 908,7884 is 1789668

GCF of denominators i.e. for 642,856 is 214.

Thus, LCM of Fractions is 1789668/214.Finally, LCM of Fractions for 908/642, 7884/856 is 1789668/214.