Least Common Multiple of 584/77, 396/95, 384/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/77, 396/95, 384/268 quickly i.e. 925056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/77, 396/95, 384/268 is 925056.

LCM(584/77, 396/95, 384/268) = 925056

LCM of 584/77, 396/95, 384/268

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 584/77,396/95,384/268

Given numbers are 584/77,396/95,384/268

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 584,396,384

Least Common Multiple of Numerators i.e. LCM of 584,396,384 is 925056.

GCF of Denominators means GCF of 77,95,268 as per the given fractions.

GCF of 77,95,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,396,384

LCM of Fractions 584/77,396/95,384/268 is 925056

2 584, 396, 384
2 292, 198, 192
2 146, 99, 96
3 73, 99, 48
73, 33, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 73 x 33 x 16 = 925056

Least Common Multiple of 584,396,384 with GCF Formula

Least Common Multiple of 584,396,384 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 584,396,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,396,384) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(584,396,384) x common factors =4 x 24 = 96

LCM(584,396,384) = ( 584 × 396 × 384 ) / 96

LCM(584,396,384) = 88805376 / 96

LCM(584,396,384) = 925056


Lets's calculate GCF of 77,95,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 925056/1

Therefore the LCM of Fractions 584/77,396/95,384/268 is 925056

Greatest Common Factor of 77,95,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,95,268 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 77,95,268 . The biggest common factor number is the GCF number.
So the greatest common factor 77,95,268 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 584/77, 396/95, 384/268

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 584/77, 396/95, 384/268?

Answer: LCM of Numerators as per given numbers 584/77, 396/95, 384/268 is

LCM of Numerators i.e. for 584,396,384 is 925056

GCF of denominators i.e. for 77,95,268 is 1.

Thus, LCM of Fractions is 925056.Finally, LCM of Fractions for 584/77, 396/95, 384/268 is 925056.