Least Common Multiple of 49/76, 84/48, 107/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/76, 84/48, 107/866 quickly i.e. 31458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/76, 84/48, 107/866 is 31458.

LCM(49/76, 84/48, 107/866) = 31458

LCM of 49/76, 84/48, 107/866

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 49/76,84/48,107/866

Given numbers are 49/76,84/48,107/866

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 49,84,107

Least Common Multiple of Numerators i.e. LCM of 49,84,107 is 62916.

GCF of Denominators means GCF of 76,48,866 as per the given fractions.

GCF of 76,48,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,84,107

LCM of Fractions 49/76,84/48,107/866 is 31458

7 49, 84, 107
7, 12, 107

∴ So the LCM of the given numbers is 7 x 7 x 12 x 107 = 62916

Least Common Multiple of 49,84,107 with GCF Formula

Least Common Multiple of 49,84,107 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 49,84,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,84,107) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,84,107) x common factors =1 x 7 = 7

LCM(49,84,107) = ( 49 × 84 × 107 ) / 7

LCM(49,84,107) = 440412 / 7

LCM(49,84,107) = 62916


Lets's calculate GCF of 76,48,866

2 76, 48, 866
38, 24, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62916/2

Therefore the LCM of Fractions 49/76,84/48,107/866 is 31458

Greatest Common Factor of 76,48,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,48,866 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 76,48,866 . The biggest common factor number is the GCF number.
So the greatest common factor 76,48,866 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 49/76, 84/48, 107/866

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 49/76, 84/48, 107/866?

Answer: LCM of Numerators as per given numbers 49/76, 84/48, 107/866 is

LCM of Numerators i.e. for 49,84,107 is 62916

GCF of denominators i.e. for 76,48,866 is 2.

Thus, LCM of Fractions is 31458.Finally, LCM of Fractions for 49/76, 84/48, 107/866 is 31458.