Least Common Multiple of 9419/789, 7129/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9419/789, 7129/638 quickly i.e. 67148051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9419/789, 7129/638 is 67148051.

LCM(9419/789, 7129/638) = 67148051

LCM of 9419/789, 7129/638

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 9419/789,7129/638

Given numbers are 9419/789,7129/638

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 9419,7129

Least Common Multiple of Numerators i.e. LCM of 9419,7129 is 67148051.

GCF of Denominators means GCF of 789,638 as per the given fractions.

GCF of 789,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9419,7129

LCM of Fractions 9419/789,7129/638 is 67148051

Given numbers has no common factors except 1. So, there LCM is their product i.e 67148051

Least Common Multiple of 9419,7129 with GCF Formula

Least Common Multiple of 9419,7129 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 9419,7129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9419,7129) = 1

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

GCF(9419,7129) x common factors =1 x 1 = 1

LCM(9419,7129) = ( 9419 × 7129 ) / 1

LCM(9419,7129) = 67148051 / 1

LCM(9419,7129) = 67148051


Lets's calculate GCF of 789,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67148051/1

Therefore the LCM of Fractions 9419/789,7129/638 is 67148051

Greatest Common Factor of 789,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,638 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 789,638 . The biggest common factor number is the GCF number.
So the greatest common factor 789,638 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 9419/789, 7129/638

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 9419/789, 7129/638?

Answer: LCM of Numerators as per given numbers 9419/789, 7129/638 is

LCM of Numerators i.e. for 9419,7129 is 67148051

GCF of denominators i.e. for 789,638 is 1.

Thus, LCM of Fractions is 67148051.Finally, LCM of Fractions for 9419/789, 7129/638 is 67148051.