Least Common Multiple of 91/84, 378/60, 512/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/84, 378/60, 512/584 quickly i.e. 314496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/84, 378/60, 512/584 is 314496.

LCM(91/84, 378/60, 512/584) = 314496

LCM of 91/84, 378/60, 512/584

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 91/84,378/60,512/584

Given numbers are 91/84,378/60,512/584

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 91,378,512

Least Common Multiple of Numerators i.e. LCM of 91,378,512 is 1257984.

GCF of Denominators means GCF of 84,60,584 as per the given fractions.

GCF of 84,60,584 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,378,512

LCM of Fractions 91/84,378/60,512/584 is 314496

2 91, 378, 512
7 91, 189, 256
13, 27, 256

∴ So the LCM of the given numbers is 2 x 7 x 13 x 27 x 256 = 1257984

Least Common Multiple of 91,378,512 with GCF Formula

Least Common Multiple of 91,378,512 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 91,378,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,378,512) = 1

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

GCF(91,378,512) x common factors =1 x 14 = 14

LCM(91,378,512) = ( 91 × 378 × 512 ) / 14

LCM(91,378,512) = 17611776 / 14

LCM(91,378,512) = 1257984


Lets's calculate GCF of 84,60,584

2 84, 60, 584
2 42, 30, 292
21, 15, 146

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1257984/4

Therefore the LCM of Fractions 91/84,378/60,512/584 is 314496

Greatest Common Factor of 84,60,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,60,584 By Matching Biggest Common Factor Method

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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 84,60,584 . The biggest common factor number is the GCF number.
So the greatest common factor 84,60,584 is 4.


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 91/84, 378/60, 512/584

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 91/84, 378/60, 512/584?

Answer: LCM of Numerators as per given numbers 91/84, 378/60, 512/584 is

LCM of Numerators i.e. for 91,378,512 is 1257984

GCF of denominators i.e. for 84,60,584 is 4.

Thus, LCM of Fractions is 314496.Finally, LCM of Fractions for 91/84, 378/60, 512/584 is 314496.