Least Common Multiple of 56/291, 7345/1881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/291, 7345/1881 quickly i.e. 411320/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/291, 7345/1881 is 411320/3.

LCM(56/291, 7345/1881) = 411320/3

LCM of 56/291, 7345/1881

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 56/291,7345/1881

Given numbers are 56/291,7345/1881

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 56,7345

Least Common Multiple of Numerators i.e. LCM of 56,7345 is 411320.

GCF of Denominators means GCF of 291,1881 as per the given fractions.

GCF of 291,1881 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,7345

LCM of Fractions 56/291,7345/1881 is 411320/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 411320

Least Common Multiple of 56,7345 with GCF Formula

Least Common Multiple of 56,7345 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 56,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,7345) = 1

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

GCF(56,7345) x common factors =1 x 1 = 1

LCM(56,7345) = ( 56 × 7345 ) / 1

LCM(56,7345) = 411320 / 1

LCM(56,7345) = 411320


Lets's calculate GCF of 291,1881

3 291, 1881
97, 627

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411320/3

Therefore the LCM of Fractions 56/291,7345/1881 is 411320/3

Greatest Common Factor of 291,1881 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,1881 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 1881

List of positive integer factors of 1881 that divides 1881 without a remainder.

1,3,9,11,19,33,57,99,171,209,627,1881

Greatest Common Factor

We found the factors 291,1881 . The biggest common factor number is the GCF number.
So the greatest common factor 291,1881 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 56/291, 7345/1881

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 56/291, 7345/1881?

Answer: LCM of Numerators as per given numbers 56/291, 7345/1881 is

LCM of Numerators i.e. for 56,7345 is 411320

GCF of denominators i.e. for 291,1881 is 3.

Thus, LCM of Fractions is 411320/3.Finally, LCM of Fractions for 56/291, 7345/1881 is 411320/3.