Least Common Multiple of 37/109, 39/321, 127/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/109, 39/321, 127/547 quickly i.e. 183261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/109, 39/321, 127/547 is 183261.

LCM(37/109, 39/321, 127/547) = 183261

LCM of 37/109, 39/321, 127/547

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 37/109,39/321,127/547

Given numbers are 37/109,39/321,127/547

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 37,39,127

Least Common Multiple of Numerators i.e. LCM of 37,39,127 is 183261.

GCF of Denominators means GCF of 109,321,547 as per the given fractions.

GCF of 109,321,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,39,127

LCM of Fractions 37/109,39/321,127/547 is 183261

Given numbers has no common factors except 1. So, there LCM is their product i.e 183261

Least Common Multiple of 37,39,127 with GCF Formula

Least Common Multiple of 37,39,127 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 37,39,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,39,127) = 1

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

GCF(37,39,127) x common factors =1 x 1 = 1

LCM(37,39,127) = ( 37 × 39 × 127 ) / 1

LCM(37,39,127) = 183261 / 1

LCM(37,39,127) = 183261


Lets's calculate GCF of 109,321,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183261/1

Therefore the LCM of Fractions 37/109,39/321,127/547 is 183261

Greatest Common Factor of 109,321,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,321,547 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 109,321,547 . The biggest common factor number is the GCF number.
So the greatest common factor 109,321,547 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/109, 39/321, 127/547

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 37/109, 39/321, 127/547?

Answer: LCM of Numerators as per given numbers 37/109, 39/321, 127/547 is

LCM of Numerators i.e. for 37,39,127 is 183261

GCF of denominators i.e. for 109,321,547 is 1.

Thus, LCM of Fractions is 183261.Finally, LCM of Fractions for 37/109, 39/321, 127/547 is 183261.