Least Common Multiple of 2490/596, 9527/2974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2490/596, 9527/2974 quickly i.e. 11861115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2490/596, 9527/2974 is 11861115.

LCM(2490/596, 9527/2974) = 11861115

LCM of 2490/596, 9527/2974

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 2490/596,9527/2974

Given numbers are 2490/596,9527/2974

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 2490,9527

Least Common Multiple of Numerators i.e. LCM of 2490,9527 is 23722230.

GCF of Denominators means GCF of 596,2974 as per the given fractions.

GCF of 596,2974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2490,9527

LCM of Fractions 2490/596,9527/2974 is 11861115

Given numbers has no common factors except 1. So, there LCM is their product i.e 23722230

Least Common Multiple of 2490,9527 with GCF Formula

Least Common Multiple of 2490,9527 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 2490,9527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2490,9527) = 1

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

GCF(2490,9527) x common factors =1 x 1 = 1

LCM(2490,9527) = ( 2490 × 9527 ) / 1

LCM(2490,9527) = 23722230 / 1

LCM(2490,9527) = 23722230


Lets's calculate GCF of 596,2974

2 596, 2974
298, 1487

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23722230/2

Therefore the LCM of Fractions 2490/596,9527/2974 is 11861115

Greatest Common Factor of 596,2974 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,2974 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1,2,1487,2974

Greatest Common Factor

We found the factors 596,2974 . The biggest common factor number is the GCF number.
So the greatest common factor 596,2974 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2490/596, 9527/2974

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 2490/596, 9527/2974?

Answer: LCM of Numerators as per given numbers 2490/596, 9527/2974 is

LCM of Numerators i.e. for 2490,9527 is 23722230

GCF of denominators i.e. for 596,2974 is 2.

Thus, LCM of Fractions is 11861115.Finally, LCM of Fractions for 2490/596, 9527/2974 is 11861115.