Least Common Multiple of 306/378, 266/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/378, 266/957 quickly i.e. 13566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/378, 266/957 is 13566.

LCM(306/378, 266/957) = 13566

LCM of 306/378, 266/957

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 306/378,266/957

Given numbers are 306/378,266/957

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 306,266

Least Common Multiple of Numerators i.e. LCM of 306,266 is 40698.

GCF of Denominators means GCF of 378,957 as per the given fractions.

GCF of 378,957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,266

LCM of Fractions 306/378,266/957 is 13566

2 306, 266
153, 133

∴ So the LCM of the given numbers is 2 x 153 x 133 = 40698

Least Common Multiple of 306,266 with GCF Formula

Least Common Multiple of 306,266 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 306,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,266) = 2

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

GCF(306,266) x common factors =2 x 1 = 2

LCM(306,266) = ( 306 × 266 ) / 2

LCM(306,266) = 81396 / 2

LCM(306,266) = 40698


Lets's calculate GCF of 378,957

3 378, 957
126, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40698/3

Therefore the LCM of Fractions 306/378,266/957 is 13566

Greatest Common Factor of 378,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,957 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 378,957 . The biggest common factor number is the GCF number.
So the greatest common factor 378,957 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 306/378, 266/957

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 306/378, 266/957?

Answer: LCM of Numerators as per given numbers 306/378, 266/957 is

LCM of Numerators i.e. for 306,266 is 40698

GCF of denominators i.e. for 378,957 is 3.

Thus, LCM of Fractions is 13566.Finally, LCM of Fractions for 306/378, 266/957 is 13566.