Least Common Multiple of 91/76, 143/84, 649/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/76, 143/84, 649/425 quickly i.e. 59059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/76, 143/84, 649/425 is 59059.

LCM(91/76, 143/84, 649/425) = 59059

LCM of 91/76, 143/84, 649/425

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 91/76,143/84,649/425

Given numbers are 91/76,143/84,649/425

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 91,143,649

Least Common Multiple of Numerators i.e. LCM of 91,143,649 is 59059.

GCF of Denominators means GCF of 76,84,425 as per the given fractions.

GCF of 76,84,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,143,649

LCM of Fractions 91/76,143/84,649/425 is 59059

11 91, 143, 649
13 91, 13, 59
7, 1, 59

∴ So the LCM of the given numbers is 11 x 13 x 7 x 1 x 59 = 59059

Least Common Multiple of 91,143,649 with GCF Formula

Least Common Multiple of 91,143,649 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 91,143,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,143,649) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(91,143,649) x common factors =1 x 143 = 143

LCM(91,143,649) = ( 91 × 143 × 649 ) / 143

LCM(91,143,649) = 8445437 / 143

LCM(91,143,649) = 59059


Lets's calculate GCF of 76,84,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59059/1

Therefore the LCM of Fractions 91/76,143/84,649/425 is 59059

Greatest Common Factor of 76,84,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,84,425 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 76,84,425 . The biggest common factor number is the GCF number.
So the greatest common factor 76,84,425 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 91/76, 143/84, 649/425

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 91/76, 143/84, 649/425?

Answer: LCM of Numerators as per given numbers 91/76, 143/84, 649/425 is

LCM of Numerators i.e. for 91,143,649 is 59059

GCF of denominators i.e. for 76,84,425 is 1.

Thus, LCM of Fractions is 59059.Finally, LCM of Fractions for 91/76, 143/84, 649/425 is 59059.