Least Common Multiple of 55/766, 12/334, 566/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/766, 12/334, 566/908 quickly i.e. 93390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/766, 12/334, 566/908 is 93390.

LCM(55/766, 12/334, 566/908) = 93390

LCM of 55/766, 12/334, 566/908

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 55/766,12/334,566/908

Given numbers are 55/766,12/334,566/908

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 55,12,566

Least Common Multiple of Numerators i.e. LCM of 55,12,566 is 186780.

GCF of Denominators means GCF of 766,334,908 as per the given fractions.

GCF of 766,334,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,12,566

LCM of Fractions 55/766,12/334,566/908 is 93390

2 55, 12, 566
55, 6, 283

∴ So the LCM of the given numbers is 2 x 55 x 6 x 283 = 186780

Least Common Multiple of 55,12,566 with GCF Formula

Least Common Multiple of 55,12,566 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 55,12,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,12,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,12,566) x common factors =1 x 2 = 2

LCM(55,12,566) = ( 55 × 12 × 566 ) / 2

LCM(55,12,566) = 373560 / 2

LCM(55,12,566) = 186780


Lets's calculate GCF of 766,334,908

2 766, 334, 908
383, 167, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186780/2

Therefore the LCM of Fractions 55/766,12/334,566/908 is 93390

Greatest Common Factor of 766,334,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,334,908 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

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 766,334,908 . The biggest common factor number is the GCF number.
So the greatest common factor 766,334,908 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 55/766, 12/334, 566/908

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 55/766, 12/334, 566/908?

Answer: LCM of Numerators as per given numbers 55/766, 12/334, 566/908 is

LCM of Numerators i.e. for 55,12,566 is 186780

GCF of denominators i.e. for 766,334,908 is 2.

Thus, LCM of Fractions is 93390.Finally, LCM of Fractions for 55/766, 12/334, 566/908 is 93390.