Least Common Multiple of 91/75, 98/15, 994/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/75, 98/15, 994/849 quickly i.e. 90454/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/75, 98/15, 994/849 is 90454/3.

LCM(91/75, 98/15, 994/849) = 90454/3

LCM of 91/75, 98/15, 994/849

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 91/75,98/15,994/849

Given numbers are 91/75,98/15,994/849

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 91,98,994

Least Common Multiple of Numerators i.e. LCM of 91,98,994 is 90454.

GCF of Denominators means GCF of 75,15,849 as per the given fractions.

GCF of 75,15,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,98,994

LCM of Fractions 91/75,98/15,994/849 is 90454/3

2 91, 98, 994
7 91, 49, 497
13, 7, 71

∴ So the LCM of the given numbers is 2 x 7 x 13 x 7 x 71 = 90454

Least Common Multiple of 91,98,994 with GCF Formula

Least Common Multiple of 91,98,994 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 91,98,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,98,994) = 7

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

GCF(91,98,994) x common factors =7 x 14 = 98

LCM(91,98,994) = ( 91 × 98 × 994 ) / 98

LCM(91,98,994) = 8864492 / 98

LCM(91,98,994) = 90454


Lets's calculate GCF of 75,15,849

3 75, 15, 849
25, 5, 283

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90454/3

Therefore the LCM of Fractions 91/75,98/15,994/849 is 90454/3

Greatest Common Factor of 75,15,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,15,849 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 75,15,849 . The biggest common factor number is the GCF number.
So the greatest common factor 75,15,849 is 3.


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 91/75, 98/15, 994/849

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 91/75, 98/15, 994/849?

Answer: LCM of Numerators as per given numbers 91/75, 98/15, 994/849 is

LCM of Numerators i.e. for 91,98,994 is 90454

GCF of denominators i.e. for 75,15,849 is 3.

Thus, LCM of Fractions is 90454/3.Finally, LCM of Fractions for 91/75, 98/15, 994/849 is 90454/3.