Least Common Multiple of 103/85, 885/20, 755/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/85, 885/20, 755/78 quickly i.e. 13764405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/85, 885/20, 755/78 is 13764405.

LCM(103/85, 885/20, 755/78) = 13764405

LCM of 103/85, 885/20, 755/78

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 103/85,885/20,755/78

Given numbers are 103/85,885/20,755/78

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 103,885,755

Least Common Multiple of Numerators i.e. LCM of 103,885,755 is 13764405.

GCF of Denominators means GCF of 85,20,78 as per the given fractions.

GCF of 85,20,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,885,755

LCM of Fractions 103/85,885/20,755/78 is 13764405

5 103, 885, 755
103, 177, 151

∴ So the LCM of the given numbers is 5 x 103 x 177 x 151 = 13764405

Least Common Multiple of 103,885,755 with GCF Formula

Least Common Multiple of 103,885,755 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 103,885,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,885,755) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(103,885,755) x common factors =1 x 5 = 5

LCM(103,885,755) = ( 103 × 885 × 755 ) / 5

LCM(103,885,755) = 68822025 / 5

LCM(103,885,755) = 13764405


Lets's calculate GCF of 85,20,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13764405/1

Therefore the LCM of Fractions 103/85,885/20,755/78 is 13764405

Greatest Common Factor of 85,20,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,20,78 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 85,20,78 . The biggest common factor number is the GCF number.
So the greatest common factor 85,20,78 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 103/85, 885/20, 755/78

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 103/85, 885/20, 755/78?

Answer: LCM of Numerators as per given numbers 103/85, 885/20, 755/78 is

LCM of Numerators i.e. for 103,885,755 is 13764405

GCF of denominators i.e. for 85,20,78 is 1.

Thus, LCM of Fractions is 13764405.Finally, LCM of Fractions for 103/85, 885/20, 755/78 is 13764405.