Least Common Multiple of 564/306, 1159/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/306, 1159/748 quickly i.e. 653676/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/306, 1159/748 is 653676/34.

LCM(564/306, 1159/748) = 653676/34

LCM of 564/306, 1159/748

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 564/306,1159/748

Given numbers are 564/306,1159/748

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 564,1159

Least Common Multiple of Numerators i.e. LCM of 564,1159 is 653676.

GCF of Denominators means GCF of 306,748 as per the given fractions.

GCF of 306,748 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,1159

LCM of Fractions 564/306,1159/748 is 653676/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 653676

Least Common Multiple of 564,1159 with GCF Formula

Least Common Multiple of 564,1159 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 564,1159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,1159) = 1

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

GCF(564,1159) x common factors =1 x 1 = 1

LCM(564,1159) = ( 564 × 1159 ) / 1

LCM(564,1159) = 653676 / 1

LCM(564,1159) = 653676


Lets's calculate GCF of 306,748

2 306, 748
17 153, 374
9, 22

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653676/34

Therefore the LCM of Fractions 564/306,1159/748 is 653676/34

Greatest Common Factor of 306,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,748 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 306,748 . The biggest common factor number is the GCF number.
So the greatest common factor 306,748 is 34.


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 564/306, 1159/748

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 564/306, 1159/748?

Answer: LCM of Numerators as per given numbers 564/306, 1159/748 is

LCM of Numerators i.e. for 564,1159 is 653676

GCF of denominators i.e. for 306,748 is 34.

Thus, LCM of Fractions is 653676/34.Finally, LCM of Fractions for 564/306, 1159/748 is 653676/34.