Least Common Multiple of 15/967, 9641/9123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/967, 9641/9123 quickly i.e. 144615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/967, 9641/9123 is 144615.

LCM(15/967, 9641/9123) = 144615

LCM of 15/967, 9641/9123

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 15/967,9641/9123

Given numbers are 15/967,9641/9123

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 15,9641

Least Common Multiple of Numerators i.e. LCM of 15,9641 is 144615.

GCF of Denominators means GCF of 967,9123 as per the given fractions.

GCF of 967,9123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,9641

LCM of Fractions 15/967,9641/9123 is 144615

Given numbers has no common factors except 1. So, there LCM is their product i.e 144615

Least Common Multiple of 15,9641 with GCF Formula

Least Common Multiple of 15,9641 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 15,9641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9641) = 1

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

GCF(15,9641) x common factors =1 x 1 = 1

LCM(15,9641) = ( 15 × 9641 ) / 1

LCM(15,9641) = 144615 / 1

LCM(15,9641) = 144615


Lets's calculate GCF of 967,9123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144615/1

Therefore the LCM of Fractions 15/967,9641/9123 is 144615

Greatest Common Factor of 967,9123 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,9123 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1,3,3041,9123

Greatest Common Factor

We found the factors 967,9123 . The biggest common factor number is the GCF number.
So the greatest common factor 967,9123 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 15/967, 9641/9123

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 15/967, 9641/9123?

Answer: LCM of Numerators as per given numbers 15/967, 9641/9123 is

LCM of Numerators i.e. for 15,9641 is 144615

GCF of denominators i.e. for 967,9123 is 1.

Thus, LCM of Fractions is 144615.Finally, LCM of Fractions for 15/967, 9641/9123 is 144615.