Least Common Multiple of 58/276, 8917/9708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/276, 8917/9708 quickly i.e. 517186/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/276, 8917/9708 is 517186/12.

LCM(58/276, 8917/9708) = 517186/12

LCM of 58/276, 8917/9708

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 58/276,8917/9708

Given numbers are 58/276,8917/9708

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 58,8917

Least Common Multiple of Numerators i.e. LCM of 58,8917 is 517186.

GCF of Denominators means GCF of 276,9708 as per the given fractions.

GCF of 276,9708 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,8917

LCM of Fractions 58/276,8917/9708 is 517186/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 517186

Least Common Multiple of 58,8917 with GCF Formula

Least Common Multiple of 58,8917 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 58,8917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,8917) = 1

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

GCF(58,8917) x common factors =1 x 1 = 1

LCM(58,8917) = ( 58 × 8917 ) / 1

LCM(58,8917) = 517186 / 1

LCM(58,8917) = 517186


Lets's calculate GCF of 276,9708

2 276, 9708
2 138, 4854
3 69, 2427
23, 809

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517186/12

Therefore the LCM of Fractions 58/276,8917/9708 is 517186/12

Greatest Common Factor of 276,9708 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,9708 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Greatest Common Factor

We found the factors 276,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 276,9708 is 12.


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 58/276, 8917/9708

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 58/276, 8917/9708?

Answer: LCM of Numerators as per given numbers 58/276, 8917/9708 is

LCM of Numerators i.e. for 58,8917 is 517186

GCF of denominators i.e. for 276,9708 is 12.

Thus, LCM of Fractions is 517186/12.Finally, LCM of Fractions for 58/276, 8917/9708 is 517186/12.