Least Common Multiple of 618/26, 114/9103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/26, 114/9103 quickly i.e. 11742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/26, 114/9103 is 11742.

LCM(618/26, 114/9103) = 11742

LCM of 618/26, 114/9103

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 618/26,114/9103

Given numbers are 618/26,114/9103

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 618,114

Least Common Multiple of Numerators i.e. LCM of 618,114 is 11742.

GCF of Denominators means GCF of 26,9103 as per the given fractions.

GCF of 26,9103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,114

LCM of Fractions 618/26,114/9103 is 11742

2 618, 114
3 309, 57
103, 19

∴ So the LCM of the given numbers is 2 x 3 x 103 x 19 = 11742

Least Common Multiple of 618,114 with GCF Formula

Least Common Multiple of 618,114 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 618,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,114) = 6

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

GCF(618,114) x common factors =6 x 1 = 6

LCM(618,114) = ( 618 × 114 ) / 6

LCM(618,114) = 70452 / 6

LCM(618,114) = 11742


Lets's calculate GCF of 26,9103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11742/1

Therefore the LCM of Fractions 618/26,114/9103 is 11742

Greatest Common Factor of 26,9103 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,9103 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 9103

List of positive integer factors of 9103 that divides 9103 without a remainder.

1,9103

Greatest Common Factor

We found the factors 26,9103 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9103 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 618/26, 114/9103

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 618/26, 114/9103?

Answer: LCM of Numerators as per given numbers 618/26, 114/9103 is

LCM of Numerators i.e. for 618,114 is 11742

GCF of denominators i.e. for 26,9103 is 1.

Thus, LCM of Fractions is 11742.Finally, LCM of Fractions for 618/26, 114/9103 is 11742.