Least Common Multiple of 246/517, 6438/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 246/517, 6438/119 quickly i.e. 263958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/517, 6438/119 is 263958.

LCM(246/517, 6438/119) = 263958

LCM of 246/517, 6438/119

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 246/517,6438/119

Given numbers are 246/517,6438/119

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 246,6438

Least Common Multiple of Numerators i.e. LCM of 246,6438 is 263958.

GCF of Denominators means GCF of 517,119 as per the given fractions.

GCF of 517,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,6438

LCM of Fractions 246/517,6438/119 is 263958

2 246, 6438
3 123, 3219
41, 1073

∴ So the LCM of the given numbers is 2 x 3 x 41 x 1073 = 263958

Least Common Multiple of 246,6438 with GCF Formula

Least Common Multiple of 246,6438 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 246,6438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,6438) = 6

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

GCF(246,6438) x common factors =6 x 1 = 6

LCM(246,6438) = ( 246 × 6438 ) / 6

LCM(246,6438) = 1583748 / 6

LCM(246,6438) = 263958


Lets's calculate GCF of 517,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263958/1

Therefore the LCM of Fractions 246/517,6438/119 is 263958

Greatest Common Factor of 517,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,119 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 517,119 . The biggest common factor number is the GCF number.
So the greatest common factor 517,119 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 246/517, 6438/119

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 246/517, 6438/119?

Answer: LCM of Numerators as per given numbers 246/517, 6438/119 is

LCM of Numerators i.e. for 246,6438 is 263958

GCF of denominators i.e. for 517,119 is 1.

Thus, LCM of Fractions is 263958.Finally, LCM of Fractions for 246/517, 6438/119 is 263958.