Least Common Multiple of 85/903, 9147/8424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/903, 9147/8424 quickly i.e. 259165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/903, 9147/8424 is 259165.

LCM(85/903, 9147/8424) = 259165

LCM of 85/903, 9147/8424

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 85/903,9147/8424

Given numbers are 85/903,9147/8424

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 85,9147

Least Common Multiple of Numerators i.e. LCM of 85,9147 is 777495.

GCF of Denominators means GCF of 903,8424 as per the given fractions.

GCF of 903,8424 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,9147

LCM of Fractions 85/903,9147/8424 is 259165

Given numbers has no common factors except 1. So, there LCM is their product i.e 777495

Least Common Multiple of 85,9147 with GCF Formula

Least Common Multiple of 85,9147 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 85,9147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,9147) = 1

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

GCF(85,9147) x common factors =1 x 1 = 1

LCM(85,9147) = ( 85 × 9147 ) / 1

LCM(85,9147) = 777495 / 1

LCM(85,9147) = 777495


Lets's calculate GCF of 903,8424

3 903, 8424
301, 2808

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 777495/3

Therefore the LCM of Fractions 85/903,9147/8424 is 259165

Greatest Common Factor of 903,8424 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,8424 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Greatest Common Factor

We found the factors 903,8424 . The biggest common factor number is the GCF number.
So the greatest common factor 903,8424 is 3.


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 85/903, 9147/8424

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 85/903, 9147/8424?

Answer: LCM of Numerators as per given numbers 85/903, 9147/8424 is

LCM of Numerators i.e. for 85,9147 is 777495

GCF of denominators i.e. for 903,8424 is 3.

Thus, LCM of Fractions is 259165.Finally, LCM of Fractions for 85/903, 9147/8424 is 259165.