Least Common Multiple of 39/31, 781/53, 715/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/31, 781/53, 715/497 quickly i.e. 152295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/31, 781/53, 715/497 is 152295.

LCM(39/31, 781/53, 715/497) = 152295

LCM of 39/31, 781/53, 715/497

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 39/31,781/53,715/497

Given numbers are 39/31,781/53,715/497

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 39,781,715

Least Common Multiple of Numerators i.e. LCM of 39,781,715 is 152295.

GCF of Denominators means GCF of 31,53,497 as per the given fractions.

GCF of 31,53,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,781,715

LCM of Fractions 39/31,781/53,715/497 is 152295

11 39, 781, 715
13 39, 71, 65
3, 71, 5

∴ So the LCM of the given numbers is 11 x 13 x 3 x 71 x 5 = 152295

Least Common Multiple of 39,781,715 with GCF Formula

Least Common Multiple of 39,781,715 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 39,781,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,781,715) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(39,781,715) x common factors =1 x 143 = 143

LCM(39,781,715) = ( 39 × 781 × 715 ) / 143

LCM(39,781,715) = 21778185 / 143

LCM(39,781,715) = 152295


Lets's calculate GCF of 31,53,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152295/1

Therefore the LCM of Fractions 39/31,781/53,715/497 is 152295

Greatest Common Factor of 31,53,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,53,497 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 31,53,497 . The biggest common factor number is the GCF number.
So the greatest common factor 31,53,497 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 39/31, 781/53, 715/497

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 39/31, 781/53, 715/497?

Answer: LCM of Numerators as per given numbers 39/31, 781/53, 715/497 is

LCM of Numerators i.e. for 39,781,715 is 152295

GCF of denominators i.e. for 31,53,497 is 1.

Thus, LCM of Fractions is 152295.Finally, LCM of Fractions for 39/31, 781/53, 715/497 is 152295.