Least Common Multiple of 566/627, 4374/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 566/627, 4374/766 quickly i.e. 1237842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/627, 4374/766 is 1237842.

LCM(566/627, 4374/766) = 1237842

LCM of 566/627, 4374/766

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 566/627,4374/766

Given numbers are 566/627,4374/766

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 566,4374

Least Common Multiple of Numerators i.e. LCM of 566,4374 is 1237842.

GCF of Denominators means GCF of 627,766 as per the given fractions.

GCF of 627,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,4374

LCM of Fractions 566/627,4374/766 is 1237842

2 566, 4374
283, 2187

∴ So the LCM of the given numbers is 2 x 283 x 2187 = 1237842

Least Common Multiple of 566,4374 with GCF Formula

Least Common Multiple of 566,4374 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 566,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,4374) = 2

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

GCF(566,4374) x common factors =2 x 1 = 2

LCM(566,4374) = ( 566 × 4374 ) / 2

LCM(566,4374) = 2475684 / 2

LCM(566,4374) = 1237842


Lets's calculate GCF of 627,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1237842/1

Therefore the LCM of Fractions 566/627,4374/766 is 1237842

Greatest Common Factor of 627,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,766 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 766

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

1,2,383,766

Greatest Common Factor

We found the factors 627,766 . The biggest common factor number is the GCF number.
So the greatest common factor 627,766 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 566/627, 4374/766

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 566/627, 4374/766?

Answer: LCM of Numerators as per given numbers 566/627, 4374/766 is

LCM of Numerators i.e. for 566,4374 is 1237842

GCF of denominators i.e. for 627,766 is 1.

Thus, LCM of Fractions is 1237842.Finally, LCM of Fractions for 566/627, 4374/766 is 1237842.