Least Common Multiple of 56/231, 2883/5625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/231, 2883/5625 quickly i.e. 53816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/231, 2883/5625 is 53816.

LCM(56/231, 2883/5625) = 53816

LCM of 56/231, 2883/5625

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 56/231,2883/5625

Given numbers are 56/231,2883/5625

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 56,2883

Least Common Multiple of Numerators i.e. LCM of 56,2883 is 161448.

GCF of Denominators means GCF of 231,5625 as per the given fractions.

GCF of 231,5625 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,2883

LCM of Fractions 56/231,2883/5625 is 53816

Given numbers has no common factors except 1. So, there LCM is their product i.e 161448

Least Common Multiple of 56,2883 with GCF Formula

Least Common Multiple of 56,2883 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 56,2883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,2883) = 1

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

GCF(56,2883) x common factors =1 x 1 = 1

LCM(56,2883) = ( 56 × 2883 ) / 1

LCM(56,2883) = 161448 / 1

LCM(56,2883) = 161448


Lets's calculate GCF of 231,5625

3 231, 5625
77, 1875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161448/3

Therefore the LCM of Fractions 56/231,2883/5625 is 53816

Greatest Common Factor of 231,5625 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,5625 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 5625

List of positive integer factors of 5625 that divides 5625 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625

Greatest Common Factor

We found the factors 231,5625 . The biggest common factor number is the GCF number.
So the greatest common factor 231,5625 is 3.


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 56/231, 2883/5625

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 56/231, 2883/5625?

Answer: LCM of Numerators as per given numbers 56/231, 2883/5625 is

LCM of Numerators i.e. for 56,2883 is 161448

GCF of denominators i.e. for 231,5625 is 3.

Thus, LCM of Fractions is 53816.Finally, LCM of Fractions for 56/231, 2883/5625 is 53816.