Least Common Multiple of 246/715, 1874/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 246/715, 1874/109 quickly i.e. 230502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/715, 1874/109 is 230502.

LCM(246/715, 1874/109) = 230502

LCM of 246/715, 1874/109

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 246/715,1874/109

Given numbers are 246/715,1874/109

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 246,1874

Least Common Multiple of Numerators i.e. LCM of 246,1874 is 230502.

GCF of Denominators means GCF of 715,109 as per the given fractions.

GCF of 715,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,1874

LCM of Fractions 246/715,1874/109 is 230502

2 246, 1874
123, 937

∴ So the LCM of the given numbers is 2 x 123 x 937 = 230502

Least Common Multiple of 246,1874 with GCF Formula

Least Common Multiple of 246,1874 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 246,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,1874) = 2

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

GCF(246,1874) x common factors =2 x 1 = 2

LCM(246,1874) = ( 246 × 1874 ) / 2

LCM(246,1874) = 461004 / 2

LCM(246,1874) = 230502


Lets's calculate GCF of 715,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230502/1

Therefore the LCM of Fractions 246/715,1874/109 is 230502

Greatest Common Factor of 715,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,109 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 715,109 . The biggest common factor number is the GCF number.
So the greatest common factor 715,109 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 246/715, 1874/109

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 246/715, 1874/109?

Answer: LCM of Numerators as per given numbers 246/715, 1874/109 is

LCM of Numerators i.e. for 246,1874 is 230502

GCF of denominators i.e. for 715,109 is 1.

Thus, LCM of Fractions is 230502.Finally, LCM of Fractions for 246/715, 1874/109 is 230502.