Least Common Multiple of 71/37, 21/831, 398/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/37, 21/831, 398/957 quickly i.e. 593418 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, 21/831, 398/957 is 593418.

LCM(71/37, 21/831, 398/957) = 593418

LCM of 71/37, 21/831, 398/957

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 71/37,21/831,398/957

Given numbers are 71/37,21/831,398/957

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 71,21,398

Least Common Multiple of Numerators i.e. LCM of 71,21,398 is 593418.

GCF of Denominators means GCF of 37,831,957 as per the given fractions.

GCF of 37,831,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,21,398

LCM of Fractions 71/37,21/831,398/957 is 593418

Given numbers has no common factors except 1. So, there LCM is their product i.e 593418

Least Common Multiple of 71,21,398 with GCF Formula

Least Common Multiple of 71,21,398 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 71,21,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,21,398) = 1

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

GCF(71,21,398) x common factors =1 x 1 = 1

LCM(71,21,398) = ( 71 × 21 × 398 ) / 1

LCM(71,21,398) = 593418 / 1

LCM(71,21,398) = 593418


Lets's calculate GCF of 37,831,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593418/1

Therefore the LCM of Fractions 71/37,21/831,398/957 is 593418

Greatest Common Factor of 37,831,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,831,957 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 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 37,831,957 . The biggest common factor number is the GCF number.
So the greatest common factor 37,831,957 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, 21/831, 398/957

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, 21/831, 398/957?

Answer: LCM of Numerators as per given numbers 71/37, 21/831, 398/957 is

LCM of Numerators i.e. for 71,21,398 is 593418

GCF of denominators i.e. for 37,831,957 is 1.

Thus, LCM of Fractions is 593418.Finally, LCM of Fractions for 71/37, 21/831, 398/957 is 593418.