Least Common Multiple of 28/232, 297/114, 256/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/232, 297/114, 256/567 quickly i.e. 532224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/232, 297/114, 256/567 is 532224.

LCM(28/232, 297/114, 256/567) = 532224

LCM of 28/232, 297/114, 256/567

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 28/232,297/114,256/567

Given numbers are 28/232,297/114,256/567

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 28,297,256

Least Common Multiple of Numerators i.e. LCM of 28,297,256 is 532224.

GCF of Denominators means GCF of 232,114,567 as per the given fractions.

GCF of 232,114,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,297,256

LCM of Fractions 28/232,297/114,256/567 is 532224

2 28, 297, 256
2 14, 297, 128
7, 297, 64

∴ So the LCM of the given numbers is 2 x 2 x 7 x 297 x 64 = 532224

Least Common Multiple of 28,297,256 with GCF Formula

Least Common Multiple of 28,297,256 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 28,297,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,297,256) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,297,256) x common factors =1 x 4 = 4

LCM(28,297,256) = ( 28 × 297 × 256 ) / 4

LCM(28,297,256) = 2128896 / 4

LCM(28,297,256) = 532224


Lets's calculate GCF of 232,114,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 532224/1

Therefore the LCM of Fractions 28/232,297/114,256/567 is 532224

Greatest Common Factor of 232,114,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,114,567 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 232,114,567 . The biggest common factor number is the GCF number.
So the greatest common factor 232,114,567 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 28/232, 297/114, 256/567

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 28/232, 297/114, 256/567?

Answer: LCM of Numerators as per given numbers 28/232, 297/114, 256/567 is

LCM of Numerators i.e. for 28,297,256 is 532224

GCF of denominators i.e. for 232,114,567 is 1.

Thus, LCM of Fractions is 532224.Finally, LCM of Fractions for 28/232, 297/114, 256/567 is 532224.