Least Common Multiple of 78/898, 85/904, 408/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/898, 85/904, 408/819 quickly i.e. 26520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/898, 85/904, 408/819 is 26520.

LCM(78/898, 85/904, 408/819) = 26520

LCM of 78/898, 85/904, 408/819

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 78/898,85/904,408/819

Given numbers are 78/898,85/904,408/819

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 78,85,408

Least Common Multiple of Numerators i.e. LCM of 78,85,408 is 26520.

GCF of Denominators means GCF of 898,904,819 as per the given fractions.

GCF of 898,904,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,85,408

LCM of Fractions 78/898,85/904,408/819 is 26520

2 78, 85, 408
3 39, 85, 204
17 13, 85, 68
13, 5, 4

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 5 x 4 = 26520

Least Common Multiple of 78,85,408 with GCF Formula

Least Common Multiple of 78,85,408 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 78,85,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,85,408) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(78,85,408) x common factors =1 x 102 = 102

LCM(78,85,408) = ( 78 × 85 × 408 ) / 102

LCM(78,85,408) = 2705040 / 102

LCM(78,85,408) = 26520


Lets's calculate GCF of 898,904,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26520/1

Therefore the LCM of Fractions 78/898,85/904,408/819 is 26520

Greatest Common Factor of 898,904,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,904,819 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 904

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

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

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 898,904,819 . The biggest common factor number is the GCF number.
So the greatest common factor 898,904,819 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 78/898, 85/904, 408/819

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 78/898, 85/904, 408/819?

Answer: LCM of Numerators as per given numbers 78/898, 85/904, 408/819 is

LCM of Numerators i.e. for 78,85,408 is 26520

GCF of denominators i.e. for 898,904,819 is 1.

Thus, LCM of Fractions is 26520.Finally, LCM of Fractions for 78/898, 85/904, 408/819 is 26520.