Least Common Multiple of 37/85, 91/78, 31/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/85, 91/78, 31/543 quickly i.e. 104377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/85, 91/78, 31/543 is 104377.

LCM(37/85, 91/78, 31/543) = 104377

LCM of 37/85, 91/78, 31/543

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 37/85,91/78,31/543

Given numbers are 37/85,91/78,31/543

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 37,91,31

Least Common Multiple of Numerators i.e. LCM of 37,91,31 is 104377.

GCF of Denominators means GCF of 85,78,543 as per the given fractions.

GCF of 85,78,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,91,31

LCM of Fractions 37/85,91/78,31/543 is 104377

Given numbers has no common factors except 1. So, there LCM is their product i.e 104377

Least Common Multiple of 37,91,31 with GCF Formula

Least Common Multiple of 37,91,31 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 37,91,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,91,31) = 1

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

GCF(37,91,31) x common factors =1 x 1 = 1

LCM(37,91,31) = ( 37 × 91 × 31 ) / 1

LCM(37,91,31) = 104377 / 1

LCM(37,91,31) = 104377


Lets's calculate GCF of 85,78,543

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104377/1

Therefore the LCM of Fractions 37/85,91/78,31/543 is 104377

Greatest Common Factor of 85,78,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,78,543 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 85,78,543 . The biggest common factor number is the GCF number.
So the greatest common factor 85,78,543 is 1.


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 37/85, 91/78, 31/543

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 37/85, 91/78, 31/543?

Answer: LCM of Numerators as per given numbers 37/85, 91/78, 31/543 is

LCM of Numerators i.e. for 37,91,31 is 104377

GCF of denominators i.e. for 85,78,543 is 1.

Thus, LCM of Fractions is 104377.Finally, LCM of Fractions for 37/85, 91/78, 31/543 is 104377.