Least Common Multiple of 58/710, 28/831, 677/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/710, 28/831, 677/608 quickly i.e. 549724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/710, 28/831, 677/608 is 549724.

LCM(58/710, 28/831, 677/608) = 549724

LCM of 58/710, 28/831, 677/608

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 58/710,28/831,677/608

Given numbers are 58/710,28/831,677/608

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 58,28,677

Least Common Multiple of Numerators i.e. LCM of 58,28,677 is 549724.

GCF of Denominators means GCF of 710,831,608 as per the given fractions.

GCF of 710,831,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,28,677

LCM of Fractions 58/710,28/831,677/608 is 549724

2 58, 28, 677
29, 14, 677

∴ So the LCM of the given numbers is 2 x 29 x 14 x 677 = 549724

Least Common Multiple of 58,28,677 with GCF Formula

Least Common Multiple of 58,28,677 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 58,28,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,28,677) = 1

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

GCF(58,28,677) x common factors =1 x 2 = 2

LCM(58,28,677) = ( 58 × 28 × 677 ) / 2

LCM(58,28,677) = 1099448 / 2

LCM(58,28,677) = 549724


Lets's calculate GCF of 710,831,608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549724/1

Therefore the LCM of Fractions 58/710,28/831,677/608 is 549724

Greatest Common Factor of 710,831,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,831,608 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 831

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

1,3,277,831

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 710,831,608 . The biggest common factor number is the GCF number.
So the greatest common factor 710,831,608 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 58/710, 28/831, 677/608

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 58/710, 28/831, 677/608?

Answer: LCM of Numerators as per given numbers 58/710, 28/831, 677/608 is

LCM of Numerators i.e. for 58,28,677 is 549724

GCF of denominators i.e. for 710,831,608 is 1.

Thus, LCM of Fractions is 549724.Finally, LCM of Fractions for 58/710, 28/831, 677/608 is 549724.