Least Common Multiple of 94/39, 173/71, 564/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/39, 173/71, 564/584 quickly i.e. 97572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/39, 173/71, 564/584 is 97572.

LCM(94/39, 173/71, 564/584) = 97572

LCM of 94/39, 173/71, 564/584

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 94/39,173/71,564/584

Given numbers are 94/39,173/71,564/584

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 94,173,564

Least Common Multiple of Numerators i.e. LCM of 94,173,564 is 97572.

GCF of Denominators means GCF of 39,71,584 as per the given fractions.

GCF of 39,71,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,173,564

LCM of Fractions 94/39,173/71,564/584 is 97572

2 94, 173, 564
47 47, 173, 282
1, 173, 6

∴ So the LCM of the given numbers is 2 x 47 x 1 x 173 x 6 = 97572

Least Common Multiple of 94,173,564 with GCF Formula

Least Common Multiple of 94,173,564 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 94,173,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,173,564) = 1

common factors(in case of two or more numbers have common factors) = 94

GCF(94,173,564) x common factors =1 x 94 = 94

LCM(94,173,564) = ( 94 × 173 × 564 ) / 94

LCM(94,173,564) = 9171768 / 94

LCM(94,173,564) = 97572


Lets's calculate GCF of 39,71,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97572/1

Therefore the LCM of Fractions 94/39,173/71,564/584 is 97572

Greatest Common Factor of 39,71,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,71,584 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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 39,71,584 . The biggest common factor number is the GCF number.
So the greatest common factor 39,71,584 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 94/39, 173/71, 564/584

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 94/39, 173/71, 564/584?

Answer: LCM of Numerators as per given numbers 94/39, 173/71, 564/584 is

LCM of Numerators i.e. for 94,173,564 is 97572

GCF of denominators i.e. for 39,71,584 is 1.

Thus, LCM of Fractions is 97572.Finally, LCM of Fractions for 94/39, 173/71, 564/584 is 97572.