Least Common Multiple of 8413/342, 9123/5491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8413/342, 9123/5491 quickly i.e. 76751799/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8413/342, 9123/5491 is 76751799/19.

LCM(8413/342, 9123/5491) = 76751799/19

LCM of 8413/342, 9123/5491

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 8413/342,9123/5491

Given numbers are 8413/342,9123/5491

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 8413,9123

Least Common Multiple of Numerators i.e. LCM of 8413,9123 is 76751799.

GCF of Denominators means GCF of 342,5491 as per the given fractions.

GCF of 342,5491 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8413,9123

LCM of Fractions 8413/342,9123/5491 is 76751799/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 76751799

Least Common Multiple of 8413,9123 with GCF Formula

Least Common Multiple of 8413,9123 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 8413,9123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8413,9123) = 1

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

GCF(8413,9123) x common factors =1 x 1 = 1

LCM(8413,9123) = ( 8413 × 9123 ) / 1

LCM(8413,9123) = 76751799 / 1

LCM(8413,9123) = 76751799


Lets's calculate GCF of 342,5491

19 342, 5491
18, 289

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76751799/19

Therefore the LCM of Fractions 8413/342,9123/5491 is 76751799/19

Greatest Common Factor of 342,5491 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,5491 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1,17,19,289,323,5491

Greatest Common Factor

We found the factors 342,5491 . The biggest common factor number is the GCF number.
So the greatest common factor 342,5491 is 19.


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 8413/342, 9123/5491

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 8413/342, 9123/5491?

Answer: LCM of Numerators as per given numbers 8413/342, 9123/5491 is

LCM of Numerators i.e. for 8413,9123 is 76751799

GCF of denominators i.e. for 342,5491 is 19.

Thus, LCM of Fractions is 76751799/19.Finally, LCM of Fractions for 8413/342, 9123/5491 is 76751799/19.