Least Common Multiple of 91/289, 708/629, 994/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/289, 708/629, 994/442 quickly i.e. 4574388/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/289, 708/629, 994/442 is 4574388/17.

LCM(91/289, 708/629, 994/442) = 4574388/17

LCM of 91/289, 708/629, 994/442

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 91/289,708/629,994/442

Given numbers are 91/289,708/629,994/442

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 91,708,994

Least Common Multiple of Numerators i.e. LCM of 91,708,994 is 4574388.

GCF of Denominators means GCF of 289,629,442 as per the given fractions.

GCF of 289,629,442 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,708,994

LCM of Fractions 91/289,708/629,994/442 is 4574388/17

2 91, 708, 994
7 91, 354, 497
13, 354, 71

∴ So the LCM of the given numbers is 2 x 7 x 13 x 354 x 71 = 4574388

Least Common Multiple of 91,708,994 with GCF Formula

Least Common Multiple of 91,708,994 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 91,708,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,708,994) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(91,708,994) x common factors =1 x 14 = 14

LCM(91,708,994) = ( 91 × 708 × 994 ) / 14

LCM(91,708,994) = 64041432 / 14

LCM(91,708,994) = 4574388


Lets's calculate GCF of 289,629,442

17 289, 629, 442
17, 37, 26

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4574388/17

Therefore the LCM of Fractions 91/289,708/629,994/442 is 4574388/17

Greatest Common Factor of 289,629,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,629,442 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 289,629,442 . The biggest common factor number is the GCF number.
So the greatest common factor 289,629,442 is 17.


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 91/289, 708/629, 994/442

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 91/289, 708/629, 994/442?

Answer: LCM of Numerators as per given numbers 91/289, 708/629, 994/442 is

LCM of Numerators i.e. for 91,708,994 is 4574388

GCF of denominators i.e. for 289,629,442 is 17.

Thus, LCM of Fractions is 4574388/17.Finally, LCM of Fractions for 91/289, 708/629, 994/442 is 4574388/17.