Least Common Multiple of 251/11, 510/6938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/11, 510/6938 quickly i.e. 128010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/11, 510/6938 is 128010.

LCM(251/11, 510/6938) = 128010

LCM of 251/11, 510/6938

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 251/11,510/6938

Given numbers are 251/11,510/6938

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 251,510

Least Common Multiple of Numerators i.e. LCM of 251,510 is 128010.

GCF of Denominators means GCF of 11,6938 as per the given fractions.

GCF of 11,6938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,510

LCM of Fractions 251/11,510/6938 is 128010

Given numbers has no common factors except 1. So, there LCM is their product i.e 128010

Least Common Multiple of 251,510 with GCF Formula

Least Common Multiple of 251,510 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 251,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,510) = 1

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

GCF(251,510) x common factors =1 x 1 = 1

LCM(251,510) = ( 251 × 510 ) / 1

LCM(251,510) = 128010 / 1

LCM(251,510) = 128010


Lets's calculate GCF of 11,6938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128010/1

Therefore the LCM of Fractions 251/11,510/6938 is 128010

Greatest Common Factor of 11,6938 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,6938 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1,2,3469,6938

Greatest Common Factor

We found the factors 11,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 11,6938 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 251/11, 510/6938

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 251/11, 510/6938?

Answer: LCM of Numerators as per given numbers 251/11, 510/6938 is

LCM of Numerators i.e. for 251,510 is 128010

GCF of denominators i.e. for 11,6938 is 1.

Thus, LCM of Fractions is 128010.Finally, LCM of Fractions for 251/11, 510/6938 is 128010.