Least Common Multiple of 58/781, 87/688, 714/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/781, 87/688, 714/118 quickly i.e. 20706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/781, 87/688, 714/118 is 20706.

LCM(58/781, 87/688, 714/118) = 20706

LCM of 58/781, 87/688, 714/118

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 58/781,87/688,714/118

Given numbers are 58/781,87/688,714/118

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 58,87,714

Least Common Multiple of Numerators i.e. LCM of 58,87,714 is 20706.

GCF of Denominators means GCF of 781,688,118 as per the given fractions.

GCF of 781,688,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,87,714

LCM of Fractions 58/781,87/688,714/118 is 20706

2 58, 87, 714
3 29, 87, 357
29 29, 29, 119
1, 1, 119

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 1 x 119 = 20706

Least Common Multiple of 58,87,714 with GCF Formula

Least Common Multiple of 58,87,714 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 58,87,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,87,714) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(58,87,714) x common factors =1 x 174 = 174

LCM(58,87,714) = ( 58 × 87 × 714 ) / 174

LCM(58,87,714) = 3602844 / 174

LCM(58,87,714) = 20706


Lets's calculate GCF of 781,688,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20706/1

Therefore the LCM of Fractions 58/781,87/688,714/118 is 20706

Greatest Common Factor of 781,688,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,688,118 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 781,688,118 . The biggest common factor number is the GCF number.
So the greatest common factor 781,688,118 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 58/781, 87/688, 714/118

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 58/781, 87/688, 714/118?

Answer: LCM of Numerators as per given numbers 58/781, 87/688, 714/118 is

LCM of Numerators i.e. for 58,87,714 is 20706

GCF of denominators i.e. for 781,688,118 is 1.

Thus, LCM of Fractions is 20706.Finally, LCM of Fractions for 58/781, 87/688, 714/118 is 20706.