Least Common Multiple of 2594/423, 9381/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2594/423, 9381/974 quickly i.e. 24334314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2594/423, 9381/974 is 24334314.

LCM(2594/423, 9381/974) = 24334314

LCM of 2594/423, 9381/974

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 2594/423,9381/974

Given numbers are 2594/423,9381/974

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 2594,9381

Least Common Multiple of Numerators i.e. LCM of 2594,9381 is 24334314.

GCF of Denominators means GCF of 423,974 as per the given fractions.

GCF of 423,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2594,9381

LCM of Fractions 2594/423,9381/974 is 24334314

Given numbers has no common factors except 1. So, there LCM is their product i.e 24334314

Least Common Multiple of 2594,9381 with GCF Formula

Least Common Multiple of 2594,9381 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 2594,9381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2594,9381) = 1

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

GCF(2594,9381) x common factors =1 x 1 = 1

LCM(2594,9381) = ( 2594 × 9381 ) / 1

LCM(2594,9381) = 24334314 / 1

LCM(2594,9381) = 24334314


Lets's calculate GCF of 423,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24334314/1

Therefore the LCM of Fractions 2594/423,9381/974 is 24334314

Greatest Common Factor of 423,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,974 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 423,974 . The biggest common factor number is the GCF number.
So the greatest common factor 423,974 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2594/423, 9381/974

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 2594/423, 9381/974?

Answer: LCM of Numerators as per given numbers 2594/423, 9381/974 is

LCM of Numerators i.e. for 2594,9381 is 24334314

GCF of denominators i.e. for 423,974 is 1.

Thus, LCM of Fractions is 24334314.Finally, LCM of Fractions for 2594/423, 9381/974 is 24334314.