Least Common Multiple of 566/92, 427/75, 366/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/92, 427/75, 366/908 quickly i.e. 725046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/92, 427/75, 366/908 is 725046.

LCM(566/92, 427/75, 366/908) = 725046

LCM of 566/92, 427/75, 366/908

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 566/92,427/75,366/908

Given numbers are 566/92,427/75,366/908

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 566,427,366

Least Common Multiple of Numerators i.e. LCM of 566,427,366 is 725046.

GCF of Denominators means GCF of 92,75,908 as per the given fractions.

GCF of 92,75,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,427,366

LCM of Fractions 566/92,427/75,366/908 is 725046

2 566, 427, 366
61 283, 427, 183
283, 7, 3

∴ So the LCM of the given numbers is 2 x 61 x 283 x 7 x 3 = 725046

Least Common Multiple of 566,427,366 with GCF Formula

Least Common Multiple of 566,427,366 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 566,427,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,427,366) = 1

common factors(in case of two or more numbers have common factors) = 122

GCF(566,427,366) x common factors =1 x 122 = 122

LCM(566,427,366) = ( 566 × 427 × 366 ) / 122

LCM(566,427,366) = 88455612 / 122

LCM(566,427,366) = 725046


Lets's calculate GCF of 92,75,908

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 725046/1

Therefore the LCM of Fractions 566/92,427/75,366/908 is 725046

Greatest Common Factor of 92,75,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,75,908 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 92,75,908 . The biggest common factor number is the GCF number.
So the greatest common factor 92,75,908 is 1.


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 566/92, 427/75, 366/908

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 566/92, 427/75, 366/908?

Answer: LCM of Numerators as per given numbers 566/92, 427/75, 366/908 is

LCM of Numerators i.e. for 566,427,366 is 725046

GCF of denominators i.e. for 92,75,908 is 1.

Thus, LCM of Fractions is 725046.Finally, LCM of Fractions for 566/92, 427/75, 366/908 is 725046.