Least Common Multiple of 6001/627, 5237/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6001/627, 5237/296 quickly i.e. 31427237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6001/627, 5237/296 is 31427237.

LCM(6001/627, 5237/296) = 31427237

LCM of 6001/627, 5237/296

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 6001/627,5237/296

Given numbers are 6001/627,5237/296

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 6001,5237

Least Common Multiple of Numerators i.e. LCM of 6001,5237 is 31427237.

GCF of Denominators means GCF of 627,296 as per the given fractions.

GCF of 627,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6001,5237

LCM of Fractions 6001/627,5237/296 is 31427237

Given numbers has no common factors except 1. So, there LCM is their product i.e 31427237

Least Common Multiple of 6001,5237 with GCF Formula

Least Common Multiple of 6001,5237 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 6001,5237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6001,5237) = 1

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

GCF(6001,5237) x common factors =1 x 1 = 1

LCM(6001,5237) = ( 6001 × 5237 ) / 1

LCM(6001,5237) = 31427237 / 1

LCM(6001,5237) = 31427237


Lets's calculate GCF of 627,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31427237/1

Therefore the LCM of Fractions 6001/627,5237/296 is 31427237

Greatest Common Factor of 627,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,296 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 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 627,296 . The biggest common factor number is the GCF number.
So the greatest common factor 627,296 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6001/627, 5237/296

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 6001/627, 5237/296?

Answer: LCM of Numerators as per given numbers 6001/627, 5237/296 is

LCM of Numerators i.e. for 6001,5237 is 31427237

GCF of denominators i.e. for 627,296 is 1.

Thus, LCM of Fractions is 31427237.Finally, LCM of Fractions for 6001/627, 5237/296 is 31427237.