Least Common Multiple of 91/282, 71/446, 135/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/282, 71/446, 135/679 quickly i.e. 872235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/282, 71/446, 135/679 is 872235.

LCM(91/282, 71/446, 135/679) = 872235

LCM of 91/282, 71/446, 135/679

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 91/282,71/446,135/679

Given numbers are 91/282,71/446,135/679

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 91,71,135

Least Common Multiple of Numerators i.e. LCM of 91,71,135 is 872235.

GCF of Denominators means GCF of 282,446,679 as per the given fractions.

GCF of 282,446,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,71,135

LCM of Fractions 91/282,71/446,135/679 is 872235

Given numbers has no common factors except 1. So, there LCM is their product i.e 872235

Least Common Multiple of 91,71,135 with GCF Formula

Least Common Multiple of 91,71,135 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 91,71,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,71,135) = 1

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

GCF(91,71,135) x common factors =1 x 1 = 1

LCM(91,71,135) = ( 91 × 71 × 135 ) / 1

LCM(91,71,135) = 872235 / 1

LCM(91,71,135) = 872235


Lets's calculate GCF of 282,446,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872235/1

Therefore the LCM of Fractions 91/282,71/446,135/679 is 872235

Greatest Common Factor of 282,446,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,446,679 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 282,446,679 . The biggest common factor number is the GCF number.
So the greatest common factor 282,446,679 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 91/282, 71/446, 135/679

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 91/282, 71/446, 135/679?

Answer: LCM of Numerators as per given numbers 91/282, 71/446, 135/679 is

LCM of Numerators i.e. for 91,71,135 is 872235

GCF of denominators i.e. for 282,446,679 is 1.

Thus, LCM of Fractions is 872235.Finally, LCM of Fractions for 91/282, 71/446, 135/679 is 872235.