Least Common Multiple of 2317/961, 9344/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2317/961, 9344/962 quickly i.e. 21650048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2317/961, 9344/962 is 21650048.

LCM(2317/961, 9344/962) = 21650048

LCM of 2317/961, 9344/962

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 2317/961,9344/962

Given numbers are 2317/961,9344/962

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 2317,9344

Least Common Multiple of Numerators i.e. LCM of 2317,9344 is 21650048.

GCF of Denominators means GCF of 961,962 as per the given fractions.

GCF of 961,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2317,9344

LCM of Fractions 2317/961,9344/962 is 21650048

Given numbers has no common factors except 1. So, there LCM is their product i.e 21650048

Least Common Multiple of 2317,9344 with GCF Formula

Least Common Multiple of 2317,9344 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 2317,9344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2317,9344) = 1

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

GCF(2317,9344) x common factors =1 x 1 = 1

LCM(2317,9344) = ( 2317 × 9344 ) / 1

LCM(2317,9344) = 21650048 / 1

LCM(2317,9344) = 21650048


Lets's calculate GCF of 961,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21650048/1

Therefore the LCM of Fractions 2317/961,9344/962 is 21650048

Greatest Common Factor of 961,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,962 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 961,962 . The biggest common factor number is the GCF number.
So the greatest common factor 961,962 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2317/961, 9344/962

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 2317/961, 9344/962?

Answer: LCM of Numerators as per given numbers 2317/961, 9344/962 is

LCM of Numerators i.e. for 2317,9344 is 21650048

GCF of denominators i.e. for 961,962 is 1.

Thus, LCM of Fractions is 21650048.Finally, LCM of Fractions for 2317/961, 9344/962 is 21650048.