Least Common Multiple of 878/99, 884/57, 504/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/99, 884/57, 504/58 quickly i.e. 48897576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/99, 884/57, 504/58 is 48897576.

LCM(878/99, 884/57, 504/58) = 48897576

LCM of 878/99, 884/57, 504/58

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 878/99,884/57,504/58

Given numbers are 878/99,884/57,504/58

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 878,884,504

Least Common Multiple of Numerators i.e. LCM of 878,884,504 is 48897576.

GCF of Denominators means GCF of 99,57,58 as per the given fractions.

GCF of 99,57,58 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,884,504

LCM of Fractions 878/99,884/57,504/58 is 48897576

2 878, 884, 504
2 439, 442, 252
439, 221, 126

∴ So the LCM of the given numbers is 2 x 2 x 439 x 221 x 126 = 48897576

Least Common Multiple of 878,884,504 with GCF Formula

Least Common Multiple of 878,884,504 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 878,884,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,884,504) = 2

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

GCF(878,884,504) x common factors =2 x 4 = 8

LCM(878,884,504) = ( 878 × 884 × 504 ) / 8

LCM(878,884,504) = 391180608 / 8

LCM(878,884,504) = 48897576


Lets's calculate GCF of 99,57,58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48897576/1

Therefore the LCM of Fractions 878/99,884/57,504/58 is 48897576

Greatest Common Factor of 99,57,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,57,58 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 99,57,58 . The biggest common factor number is the GCF number.
So the greatest common factor 99,57,58 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 878/99, 884/57, 504/58

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 878/99, 884/57, 504/58?

Answer: LCM of Numerators as per given numbers 878/99, 884/57, 504/58 is

LCM of Numerators i.e. for 878,884,504 is 48897576

GCF of denominators i.e. for 99,57,58 is 1.

Thus, LCM of Fractions is 48897576.Finally, LCM of Fractions for 878/99, 884/57, 504/58 is 48897576.