Least Common Multiple of 9609/130, 7469/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9609/130, 7469/623 quickly i.e. 71769621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9609/130, 7469/623 is 71769621.

LCM(9609/130, 7469/623) = 71769621

LCM of 9609/130, 7469/623

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 9609/130,7469/623

Given numbers are 9609/130,7469/623

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 9609,7469

Least Common Multiple of Numerators i.e. LCM of 9609,7469 is 71769621.

GCF of Denominators means GCF of 130,623 as per the given fractions.

GCF of 130,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9609,7469

LCM of Fractions 9609/130,7469/623 is 71769621

Given numbers has no common factors except 1. So, there LCM is their product i.e 71769621

Least Common Multiple of 9609,7469 with GCF Formula

Least Common Multiple of 9609,7469 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 9609,7469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9609,7469) = 1

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

GCF(9609,7469) x common factors =1 x 1 = 1

LCM(9609,7469) = ( 9609 × 7469 ) / 1

LCM(9609,7469) = 71769621 / 1

LCM(9609,7469) = 71769621


Lets's calculate GCF of 130,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71769621/1

Therefore the LCM of Fractions 9609/130,7469/623 is 71769621

Greatest Common Factor of 130,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,623 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 130,623 . The biggest common factor number is the GCF number.
So the greatest common factor 130,623 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 9609/130, 7469/623

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 9609/130, 7469/623?

Answer: LCM of Numerators as per given numbers 9609/130, 7469/623 is

LCM of Numerators i.e. for 9609,7469 is 71769621

GCF of denominators i.e. for 130,623 is 1.

Thus, LCM of Fractions is 71769621.Finally, LCM of Fractions for 9609/130, 7469/623 is 71769621.