Least Common Multiple of 71/37, 45/31, 972/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/37, 45/31, 972/309 quickly i.e. 345060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/37, 45/31, 972/309 is 345060.

LCM(71/37, 45/31, 972/309) = 345060

LCM of 71/37, 45/31, 972/309

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 71/37,45/31,972/309

Given numbers are 71/37,45/31,972/309

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 71,45,972

Least Common Multiple of Numerators i.e. LCM of 71,45,972 is 345060.

GCF of Denominators means GCF of 37,31,309 as per the given fractions.

GCF of 37,31,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,45,972

LCM of Fractions 71/37,45/31,972/309 is 345060

3 71, 45, 972
3 71, 15, 324
71, 5, 108

∴ So the LCM of the given numbers is 3 x 3 x 71 x 5 x 108 = 345060

Least Common Multiple of 71,45,972 with GCF Formula

Least Common Multiple of 71,45,972 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 71,45,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,45,972) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(71,45,972) x common factors =1 x 9 = 9

LCM(71,45,972) = ( 71 × 45 × 972 ) / 9

LCM(71,45,972) = 3105540 / 9

LCM(71,45,972) = 345060


Lets's calculate GCF of 37,31,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345060/1

Therefore the LCM of Fractions 71/37,45/31,972/309 is 345060

Greatest Common Factor of 37,31,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,31,309 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 37,31,309 . The biggest common factor number is the GCF number.
So the greatest common factor 37,31,309 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 71/37, 45/31, 972/309

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 71/37, 45/31, 972/309?

Answer: LCM of Numerators as per given numbers 71/37, 45/31, 972/309 is

LCM of Numerators i.e. for 71,45,972 is 345060

GCF of denominators i.e. for 37,31,309 is 1.

Thus, LCM of Fractions is 345060.Finally, LCM of Fractions for 71/37, 45/31, 972/309 is 345060.