Least Common Multiple of 47/178, 92/516, 924/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/178, 92/516, 924/904 quickly i.e. 499422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/178, 92/516, 924/904 is 499422.

LCM(47/178, 92/516, 924/904) = 499422

LCM of 47/178, 92/516, 924/904

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 47/178,92/516,924/904

Given numbers are 47/178,92/516,924/904

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 47,92,924

Least Common Multiple of Numerators i.e. LCM of 47,92,924 is 998844.

GCF of Denominators means GCF of 178,516,904 as per the given fractions.

GCF of 178,516,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,92,924

LCM of Fractions 47/178,92/516,924/904 is 499422

2 47, 92, 924
2 47, 46, 462
47, 23, 231

∴ So the LCM of the given numbers is 2 x 2 x 47 x 23 x 231 = 998844

Least Common Multiple of 47,92,924 with GCF Formula

Least Common Multiple of 47,92,924 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 47,92,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,92,924) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,92,924) x common factors =1 x 4 = 4

LCM(47,92,924) = ( 47 × 92 × 924 ) / 4

LCM(47,92,924) = 3995376 / 4

LCM(47,92,924) = 998844


Lets's calculate GCF of 178,516,904

2 178, 516, 904
89, 258, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 998844/2

Therefore the LCM of Fractions 47/178,92/516,924/904 is 499422

Greatest Common Factor of 178,516,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,516,904 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 178,516,904 . The biggest common factor number is the GCF number.
So the greatest common factor 178,516,904 is 2.


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 47/178, 92/516, 924/904

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 47/178, 92/516, 924/904?

Answer: LCM of Numerators as per given numbers 47/178, 92/516, 924/904 is

LCM of Numerators i.e. for 47,92,924 is 998844

GCF of denominators i.e. for 178,516,904 is 2.

Thus, LCM of Fractions is 499422.Finally, LCM of Fractions for 47/178, 92/516, 924/904 is 499422.