Least Common Multiple of 2711/506, 1167/5002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2711/506, 1167/5002 quickly i.e. 3163737/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2711/506, 1167/5002 is 3163737/2.

LCM(2711/506, 1167/5002) = 3163737/2

LCM of 2711/506, 1167/5002

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 2711/506,1167/5002

Given numbers are 2711/506,1167/5002

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 2711,1167

Least Common Multiple of Numerators i.e. LCM of 2711,1167 is 3163737.

GCF of Denominators means GCF of 506,5002 as per the given fractions.

GCF of 506,5002 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2711,1167

LCM of Fractions 2711/506,1167/5002 is 3163737/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3163737

Least Common Multiple of 2711,1167 with GCF Formula

Least Common Multiple of 2711,1167 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 2711,1167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2711,1167) = 1

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

GCF(2711,1167) x common factors =1 x 1 = 1

LCM(2711,1167) = ( 2711 × 1167 ) / 1

LCM(2711,1167) = 3163737 / 1

LCM(2711,1167) = 3163737


Lets's calculate GCF of 506,5002

2 506, 5002
253, 2501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3163737/2

Therefore the LCM of Fractions 2711/506,1167/5002 is 3163737/2

Greatest Common Factor of 506,5002 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,5002 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1,2,41,61,82,122,2501,5002

Greatest Common Factor

We found the factors 506,5002 . The biggest common factor number is the GCF number.
So the greatest common factor 506,5002 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2711/506, 1167/5002

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 2711/506, 1167/5002?

Answer: LCM of Numerators as per given numbers 2711/506, 1167/5002 is

LCM of Numerators i.e. for 2711,1167 is 3163737

GCF of denominators i.e. for 506,5002 is 2.

Thus, LCM of Fractions is 3163737/2.Finally, LCM of Fractions for 2711/506, 1167/5002 is 3163737/2.