Least Common Multiple of 28/567, 12/114, 301/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/567, 12/114, 301/696 quickly i.e. 1204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/567, 12/114, 301/696 is 1204.

LCM(28/567, 12/114, 301/696) = 1204

LCM of 28/567, 12/114, 301/696

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 28/567,12/114,301/696

Given numbers are 28/567,12/114,301/696

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 28,12,301

Least Common Multiple of Numerators i.e. LCM of 28,12,301 is 3612.

GCF of Denominators means GCF of 567,114,696 as per the given fractions.

GCF of 567,114,696 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,12,301

LCM of Fractions 28/567,12/114,301/696 is 1204

2 28, 12, 301
2 14, 6, 301
7 7, 3, 301
1, 3, 43

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 3 x 43 = 3612

Least Common Multiple of 28,12,301 with GCF Formula

Least Common Multiple of 28,12,301 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 28,12,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,12,301) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,12,301) x common factors =1 x 28 = 28

LCM(28,12,301) = ( 28 × 12 × 301 ) / 28

LCM(28,12,301) = 101136 / 28

LCM(28,12,301) = 3612


Lets's calculate GCF of 567,114,696

3 567, 114, 696
189, 38, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3612/3

Therefore the LCM of Fractions 28/567,12/114,301/696 is 1204

Greatest Common Factor of 567,114,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,114,696 By Matching Biggest Common Factor Method

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

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 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 567,114,696 . The biggest common factor number is the GCF number.
So the greatest common factor 567,114,696 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 28/567, 12/114, 301/696

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 28/567, 12/114, 301/696?

Answer: LCM of Numerators as per given numbers 28/567, 12/114, 301/696 is

LCM of Numerators i.e. for 28,12,301 is 3612

GCF of denominators i.e. for 567,114,696 is 3.

Thus, LCM of Fractions is 1204.Finally, LCM of Fractions for 28/567, 12/114, 301/696 is 1204.