Least Common Multiple of 31/71, 52/89, 438/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/71, 52/89, 438/942 quickly i.e. 353028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/71, 52/89, 438/942 is 353028.

LCM(31/71, 52/89, 438/942) = 353028

LCM of 31/71, 52/89, 438/942

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 31/71,52/89,438/942

Given numbers are 31/71,52/89,438/942

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 31,52,438

Least Common Multiple of Numerators i.e. LCM of 31,52,438 is 353028.

GCF of Denominators means GCF of 71,89,942 as per the given fractions.

GCF of 71,89,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,52,438

LCM of Fractions 31/71,52/89,438/942 is 353028

2 31, 52, 438
31, 26, 219

∴ So the LCM of the given numbers is 2 x 31 x 26 x 219 = 353028

Least Common Multiple of 31,52,438 with GCF Formula

Least Common Multiple of 31,52,438 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 31,52,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,52,438) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,52,438) x common factors =1 x 2 = 2

LCM(31,52,438) = ( 31 × 52 × 438 ) / 2

LCM(31,52,438) = 706056 / 2

LCM(31,52,438) = 353028


Lets's calculate GCF of 71,89,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353028/1

Therefore the LCM of Fractions 31/71,52/89,438/942 is 353028

Greatest Common Factor of 71,89,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,89,942 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 71,89,942 . The biggest common factor number is the GCF number.
So the greatest common factor 71,89,942 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 31/71, 52/89, 438/942

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 31/71, 52/89, 438/942?

Answer: LCM of Numerators as per given numbers 31/71, 52/89, 438/942 is

LCM of Numerators i.e. for 31,52,438 is 353028

GCF of denominators i.e. for 71,89,942 is 1.

Thus, LCM of Fractions is 353028.Finally, LCM of Fractions for 31/71, 52/89, 438/942 is 353028.