Least Common Multiple of 107/72, 888/6348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 107/72, 888/6348 quickly i.e. 7918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/72, 888/6348 is 7918.

LCM(107/72, 888/6348) = 7918

LCM of 107/72, 888/6348

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 107/72,888/6348

Given numbers are 107/72,888/6348

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 107,888

Least Common Multiple of Numerators i.e. LCM of 107,888 is 95016.

GCF of Denominators means GCF of 72,6348 as per the given fractions.

GCF of 72,6348 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,888

LCM of Fractions 107/72,888/6348 is 7918

Given numbers has no common factors except 1. So, there LCM is their product i.e 95016

Least Common Multiple of 107,888 with GCF Formula

Least Common Multiple of 107,888 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 107,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,888) = 1

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

GCF(107,888) x common factors =1 x 1 = 1

LCM(107,888) = ( 107 × 888 ) / 1

LCM(107,888) = 95016 / 1

LCM(107,888) = 95016


Lets's calculate GCF of 72,6348

2 72, 6348
2 36, 3174
3 18, 1587
6, 529

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95016/12

Therefore the LCM of Fractions 107/72,888/6348 is 7918

Greatest Common Factor of 72,6348 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,6348 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348

Greatest Common Factor

We found the factors 72,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6348 is 12.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 107/72, 888/6348

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 107/72, 888/6348?

Answer: LCM of Numerators as per given numbers 107/72, 888/6348 is

LCM of Numerators i.e. for 107,888 is 95016

GCF of denominators i.e. for 72,6348 is 12.

Thus, LCM of Fractions is 7918.Finally, LCM of Fractions for 107/72, 888/6348 is 7918.