Least Common Multiple of 904/992, 488/893, 860/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/992, 488/893, 860/208 quickly i.e. 11855960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/992, 488/893, 860/208 is 11855960.

LCM(904/992, 488/893, 860/208) = 11855960

LCM of 904/992, 488/893, 860/208

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 904/992,488/893,860/208

Given numbers are 904/992,488/893,860/208

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 904,488,860

Least Common Multiple of Numerators i.e. LCM of 904,488,860 is 11855960.

GCF of Denominators means GCF of 992,893,208 as per the given fractions.

GCF of 992,893,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,488,860

LCM of Fractions 904/992,488/893,860/208 is 11855960

2 904, 488, 860
2 452, 244, 430
2 226, 122, 215
113, 61, 215

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 61 x 215 = 11855960

Least Common Multiple of 904,488,860 with GCF Formula

Least Common Multiple of 904,488,860 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 904,488,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,488,860) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(904,488,860) x common factors =4 x 8 = 32

LCM(904,488,860) = ( 904 × 488 × 860 ) / 32

LCM(904,488,860) = 379390720 / 32

LCM(904,488,860) = 11855960


Lets's calculate GCF of 992,893,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11855960/1

Therefore the LCM of Fractions 904/992,488/893,860/208 is 11855960

Greatest Common Factor of 992,893,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,893,208 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 992,893,208 . The biggest common factor number is the GCF number.
So the greatest common factor 992,893,208 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 904/992, 488/893, 860/208

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 904/992, 488/893, 860/208?

Answer: LCM of Numerators as per given numbers 904/992, 488/893, 860/208 is

LCM of Numerators i.e. for 904,488,860 is 11855960

GCF of denominators i.e. for 992,893,208 is 1.

Thus, LCM of Fractions is 11855960.Finally, LCM of Fractions for 904/992, 488/893, 860/208 is 11855960.