Least Common Multiple of 484/596, 2567/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 484/596, 2567/962 quickly i.e. 621214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/596, 2567/962 is 621214.

LCM(484/596, 2567/962) = 621214

LCM of 484/596, 2567/962

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 484/596,2567/962

Given numbers are 484/596,2567/962

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 484,2567

Least Common Multiple of Numerators i.e. LCM of 484,2567 is 1242428.

GCF of Denominators means GCF of 596,962 as per the given fractions.

GCF of 596,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,2567

LCM of Fractions 484/596,2567/962 is 621214

Given numbers has no common factors except 1. So, there LCM is their product i.e 1242428

Least Common Multiple of 484,2567 with GCF Formula

Least Common Multiple of 484,2567 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 484,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,2567) = 1

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

GCF(484,2567) x common factors =1 x 1 = 1

LCM(484,2567) = ( 484 × 2567 ) / 1

LCM(484,2567) = 1242428 / 1

LCM(484,2567) = 1242428


Lets's calculate GCF of 596,962

2 596, 962
298, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242428/2

Therefore the LCM of Fractions 484/596,2567/962 is 621214

Greatest Common Factor of 596,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,962 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 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 596,962 . The biggest common factor number is the GCF number.
So the greatest common factor 596,962 is 2.


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Frequently Asked Questions on Fractional LCM of 484/596, 2567/962

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 484/596, 2567/962?

Answer: LCM of Numerators as per given numbers 484/596, 2567/962 is

LCM of Numerators i.e. for 484,2567 is 1242428

GCF of denominators i.e. for 596,962 is 2.

Thus, LCM of Fractions is 621214.Finally, LCM of Fractions for 484/596, 2567/962 is 621214.