Least Common Multiple of 710/360, 4791/5556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 710/360, 4791/5556 quickly i.e. 3401610/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 710/360, 4791/5556 is 3401610/12.

LCM(710/360, 4791/5556) = 3401610/12

LCM of 710/360, 4791/5556

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 710/360,4791/5556

Given numbers are 710/360,4791/5556

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 710,4791

Least Common Multiple of Numerators i.e. LCM of 710,4791 is 3401610.

GCF of Denominators means GCF of 360,5556 as per the given fractions.

GCF of 360,5556 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 710,4791

LCM of Fractions 710/360,4791/5556 is 3401610/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 3401610

Least Common Multiple of 710,4791 with GCF Formula

Least Common Multiple of 710,4791 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 710,4791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,4791) = 1

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

GCF(710,4791) x common factors =1 x 1 = 1

LCM(710,4791) = ( 710 × 4791 ) / 1

LCM(710,4791) = 3401610 / 1

LCM(710,4791) = 3401610


Lets's calculate GCF of 360,5556

2 360, 5556
2 180, 2778
3 90, 1389
30, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3401610/12

Therefore the LCM of Fractions 710/360,4791/5556 is 3401610/12

Greatest Common Factor of 360,5556 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,5556 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 5556

List of positive integer factors of 5556 that divides 5556 without a remainder.

1,2,3,4,6,12,463,926,1389,1852,2778,5556

Greatest Common Factor

We found the factors 360,5556 . The biggest common factor number is the GCF number.
So the greatest common factor 360,5556 is 12.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 710/360, 4791/5556

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 710/360, 4791/5556?

Answer: LCM of Numerators as per given numbers 710/360, 4791/5556 is

LCM of Numerators i.e. for 710,4791 is 3401610

GCF of denominators i.e. for 360,5556 is 12.

Thus, LCM of Fractions is 3401610/12.Finally, LCM of Fractions for 710/360, 4791/5556 is 3401610/12.