Least Common Multiple of 888/76, 904/4109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 888/76, 904/4109 quickly i.e. 100344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/76, 904/4109 is 100344.

LCM(888/76, 904/4109) = 100344

LCM of 888/76, 904/4109

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 888/76,904/4109

Given numbers are 888/76,904/4109

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 888,904

Least Common Multiple of Numerators i.e. LCM of 888,904 is 100344.

GCF of Denominators means GCF of 76,4109 as per the given fractions.

GCF of 76,4109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,904

LCM of Fractions 888/76,904/4109 is 100344

2 888, 904
2 444, 452
2 222, 226
111, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 111 x 113 = 100344

Least Common Multiple of 888,904 with GCF Formula

Least Common Multiple of 888,904 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 888,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,904) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(888,904) x common factors =8 x 1 = 8

LCM(888,904) = ( 888 × 904 ) / 8

LCM(888,904) = 802752 / 8

LCM(888,904) = 100344


Lets's calculate GCF of 76,4109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100344/1

Therefore the LCM of Fractions 888/76,904/4109 is 100344

Greatest Common Factor of 76,4109 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4109 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1,7,587,4109

Greatest Common Factor

We found the factors 76,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4109 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 888/76, 904/4109

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 888/76, 904/4109?

Answer: LCM of Numerators as per given numbers 888/76, 904/4109 is

LCM of Numerators i.e. for 888,904 is 100344

GCF of denominators i.e. for 76,4109 is 1.

Thus, LCM of Fractions is 100344.Finally, LCM of Fractions for 888/76, 904/4109 is 100344.