Least Common Multiple of 91/712, 7428/5780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/712, 7428/5780 quickly i.e. 168987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/712, 7428/5780 is 168987.

LCM(91/712, 7428/5780) = 168987

LCM of 91/712, 7428/5780

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 91/712,7428/5780

Given numbers are 91/712,7428/5780

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 91,7428

Least Common Multiple of Numerators i.e. LCM of 91,7428 is 675948.

GCF of Denominators means GCF of 712,5780 as per the given fractions.

GCF of 712,5780 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,7428

LCM of Fractions 91/712,7428/5780 is 168987

Given numbers has no common factors except 1. So, there LCM is their product i.e 675948

Least Common Multiple of 91,7428 with GCF Formula

Least Common Multiple of 91,7428 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 91,7428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,7428) = 1

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

GCF(91,7428) x common factors =1 x 1 = 1

LCM(91,7428) = ( 91 × 7428 ) / 1

LCM(91,7428) = 675948 / 1

LCM(91,7428) = 675948


Lets's calculate GCF of 712,5780

2 712, 5780
2 356, 2890
178, 1445

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675948/4

Therefore the LCM of Fractions 91/712,7428/5780 is 168987

Greatest Common Factor of 712,5780 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,5780 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Greatest Common Factor

We found the factors 712,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 712,5780 is 4.


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 91/712, 7428/5780

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 91/712, 7428/5780?

Answer: LCM of Numerators as per given numbers 91/712, 7428/5780 is

LCM of Numerators i.e. for 91,7428 is 675948

GCF of denominators i.e. for 712,5780 is 4.

Thus, LCM of Fractions is 168987.Finally, LCM of Fractions for 91/712, 7428/5780 is 168987.