Least Common Multiple of 676/466, 8866/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/466, 8866/908 quickly i.e. 115258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/466, 8866/908 is 115258.

LCM(676/466, 8866/908) = 115258

LCM of 676/466, 8866/908

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 676/466,8866/908

Given numbers are 676/466,8866/908

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 676,8866

Least Common Multiple of Numerators i.e. LCM of 676,8866 is 230516.

GCF of Denominators means GCF of 466,908 as per the given fractions.

GCF of 466,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,8866

LCM of Fractions 676/466,8866/908 is 115258

2 676, 8866
13 338, 4433
26, 341

∴ So the LCM of the given numbers is 2 x 13 x 26 x 341 = 230516

Least Common Multiple of 676,8866 with GCF Formula

Least Common Multiple of 676,8866 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 676,8866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,8866) = 26

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

GCF(676,8866) x common factors =26 x 1 = 26

LCM(676,8866) = ( 676 × 8866 ) / 26

LCM(676,8866) = 5993416 / 26

LCM(676,8866) = 230516


Lets's calculate GCF of 466,908

2 466, 908
233, 454

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230516/2

Therefore the LCM of Fractions 676/466,8866/908 is 115258

Greatest Common Factor of 466,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,908 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 466,908 . The biggest common factor number is the GCF number.
So the greatest common factor 466,908 is 2.


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 676/466, 8866/908

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 676/466, 8866/908?

Answer: LCM of Numerators as per given numbers 676/466, 8866/908 is

LCM of Numerators i.e. for 676,8866 is 230516

GCF of denominators i.e. for 466,908 is 2.

Thus, LCM of Fractions is 115258.Finally, LCM of Fractions for 676/466, 8866/908 is 115258.