Least Common Multiple of 91/518, 216/838, 381/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/518, 216/838, 381/299 quickly i.e. 2496312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/518, 216/838, 381/299 is 2496312.

LCM(91/518, 216/838, 381/299) = 2496312

LCM of 91/518, 216/838, 381/299

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 91/518,216/838,381/299

Given numbers are 91/518,216/838,381/299

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 91,216,381

Least Common Multiple of Numerators i.e. LCM of 91,216,381 is 2496312.

GCF of Denominators means GCF of 518,838,299 as per the given fractions.

GCF of 518,838,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,216,381

LCM of Fractions 91/518,216/838,381/299 is 2496312

3 91, 216, 381
91, 72, 127

∴ So the LCM of the given numbers is 3 x 91 x 72 x 127 = 2496312

Least Common Multiple of 91,216,381 with GCF Formula

Least Common Multiple of 91,216,381 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 91,216,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,216,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(91,216,381) x common factors =1 x 3 = 3

LCM(91,216,381) = ( 91 × 216 × 381 ) / 3

LCM(91,216,381) = 7488936 / 3

LCM(91,216,381) = 2496312


Lets's calculate GCF of 518,838,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2496312/1

Therefore the LCM of Fractions 91/518,216/838,381/299 is 2496312

Greatest Common Factor of 518,838,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,838,299 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 518,838,299 . The biggest common factor number is the GCF number.
So the greatest common factor 518,838,299 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 91/518, 216/838, 381/299

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 91/518, 216/838, 381/299?

Answer: LCM of Numerators as per given numbers 91/518, 216/838, 381/299 is

LCM of Numerators i.e. for 91,216,381 is 2496312

GCF of denominators i.e. for 518,838,299 is 1.

Thus, LCM of Fractions is 2496312.Finally, LCM of Fractions for 91/518, 216/838, 381/299 is 2496312.