Least Common Multiple of 6371/87, 5712/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6371/87, 5712/348 quickly i.e. 36391152/87 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6371/87, 5712/348 is 36391152/87.

LCM(6371/87, 5712/348) = 36391152/87

LCM of 6371/87, 5712/348

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 6371/87,5712/348

Given numbers are 6371/87,5712/348

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 6371,5712

Least Common Multiple of Numerators i.e. LCM of 6371,5712 is 36391152.

GCF of Denominators means GCF of 87,348 as per the given fractions.

GCF of 87,348 is 87 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6371,5712

LCM of Fractions 6371/87,5712/348 is 36391152/87

Given numbers has no common factors except 1. So, there LCM is their product i.e 36391152

Least Common Multiple of 6371,5712 with GCF Formula

Least Common Multiple of 6371,5712 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 6371,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6371,5712) = 1

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

GCF(6371,5712) x common factors =1 x 1 = 1

LCM(6371,5712) = ( 6371 × 5712 ) / 1

LCM(6371,5712) = 36391152 / 1

LCM(6371,5712) = 36391152


Lets's calculate GCF of 87,348

3 87, 348
29 29, 116
1, 4

∴ So the GCF of the given numbers is 3 x 29 = 87

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36391152/87

Therefore the LCM of Fractions 6371/87,5712/348 is 36391152/87

Greatest Common Factor of 87,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,348 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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 87,348 . The biggest common factor number is the GCF number.
So the greatest common factor 87,348 is 87.


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 6371/87, 5712/348

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 6371/87, 5712/348?

Answer: LCM of Numerators as per given numbers 6371/87, 5712/348 is

LCM of Numerators i.e. for 6371,5712 is 36391152

GCF of denominators i.e. for 87,348 is 87.

Thus, LCM of Fractions is 36391152/87.Finally, LCM of Fractions for 6371/87, 5712/348 is 36391152/87.