Least Common Multiple of 532/75, 399/39, 178/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/75, 399/39, 178/684 quickly i.e. 47348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/75, 399/39, 178/684 is 47348.

LCM(532/75, 399/39, 178/684) = 47348

LCM of 532/75, 399/39, 178/684

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 532/75,399/39,178/684

Given numbers are 532/75,399/39,178/684

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 532,399,178

Least Common Multiple of Numerators i.e. LCM of 532,399,178 is 142044.

GCF of Denominators means GCF of 75,39,684 as per the given fractions.

GCF of 75,39,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,399,178

LCM of Fractions 532/75,399/39,178/684 is 47348

2 532, 399, 178
7 266, 399, 89
19 38, 57, 89
2, 3, 89

∴ So the LCM of the given numbers is 2 x 7 x 19 x 2 x 3 x 89 = 142044

Least Common Multiple of 532,399,178 with GCF Formula

Least Common Multiple of 532,399,178 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 532,399,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,399,178) = 1

common factors(in case of two or more numbers have common factors) = 266

GCF(532,399,178) x common factors =1 x 266 = 266

LCM(532,399,178) = ( 532 × 399 × 178 ) / 266

LCM(532,399,178) = 37783704 / 266

LCM(532,399,178) = 142044


Lets's calculate GCF of 75,39,684

3 75, 39, 684
25, 13, 228

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142044/3

Therefore the LCM of Fractions 532/75,399/39,178/684 is 47348

Greatest Common Factor of 75,39,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,39,684 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 39

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

1,3,13,39

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 75,39,684 . The biggest common factor number is the GCF number.
So the greatest common factor 75,39,684 is 3.


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 532/75, 399/39, 178/684

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 532/75, 399/39, 178/684?

Answer: LCM of Numerators as per given numbers 532/75, 399/39, 178/684 is

LCM of Numerators i.e. for 532,399,178 is 142044

GCF of denominators i.e. for 75,39,684 is 3.

Thus, LCM of Fractions is 47348.Finally, LCM of Fractions for 532/75, 399/39, 178/684 is 47348.