Least Common Multiple of 47/56, 55/635, 131/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/56, 55/635, 131/796 quickly i.e. 338635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/56, 55/635, 131/796 is 338635.

LCM(47/56, 55/635, 131/796) = 338635

LCM of 47/56, 55/635, 131/796

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 47/56,55/635,131/796

Given numbers are 47/56,55/635,131/796

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 47,55,131

Least Common Multiple of Numerators i.e. LCM of 47,55,131 is 338635.

GCF of Denominators means GCF of 56,635,796 as per the given fractions.

GCF of 56,635,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,55,131

LCM of Fractions 47/56,55/635,131/796 is 338635

Given numbers has no common factors except 1. So, there LCM is their product i.e 338635

Least Common Multiple of 47,55,131 with GCF Formula

Least Common Multiple of 47,55,131 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 47,55,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,55,131) = 1

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

GCF(47,55,131) x common factors =1 x 1 = 1

LCM(47,55,131) = ( 47 × 55 × 131 ) / 1

LCM(47,55,131) = 338635 / 1

LCM(47,55,131) = 338635


Lets's calculate GCF of 56,635,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338635/1

Therefore the LCM of Fractions 47/56,55/635,131/796 is 338635

Greatest Common Factor of 56,635,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,635,796 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 56,635,796 . The biggest common factor number is the GCF number.
So the greatest common factor 56,635,796 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 47/56, 55/635, 131/796

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 47/56, 55/635, 131/796?

Answer: LCM of Numerators as per given numbers 47/56, 55/635, 131/796 is

LCM of Numerators i.e. for 47,55,131 is 338635

GCF of denominators i.e. for 56,635,796 is 1.

Thus, LCM of Fractions is 338635.Finally, LCM of Fractions for 47/56, 55/635, 131/796 is 338635.