Least Common Multiple of 563/826, 3557/2489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 563/826, 3557/2489 quickly i.e. 2002591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/826, 3557/2489 is 2002591.

LCM(563/826, 3557/2489) = 2002591

LCM of 563/826, 3557/2489

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 563/826,3557/2489

Given numbers are 563/826,3557/2489

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 563,3557

Least Common Multiple of Numerators i.e. LCM of 563,3557 is 2002591.

GCF of Denominators means GCF of 826,2489 as per the given fractions.

GCF of 826,2489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,3557

LCM of Fractions 563/826,3557/2489 is 2002591

Given numbers has no common factors except 1. So, there LCM is their product i.e 2002591

Least Common Multiple of 563,3557 with GCF Formula

Least Common Multiple of 563,3557 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 563,3557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,3557) = 1

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

GCF(563,3557) x common factors =1 x 1 = 1

LCM(563,3557) = ( 563 × 3557 ) / 1

LCM(563,3557) = 2002591 / 1

LCM(563,3557) = 2002591


Lets's calculate GCF of 826,2489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2002591/1

Therefore the LCM of Fractions 563/826,3557/2489 is 2002591

Greatest Common Factor of 826,2489 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,2489 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 2489

List of positive integer factors of 2489 that divides 2489 without a remainder.

1,19,131,2489

Greatest Common Factor

We found the factors 826,2489 . The biggest common factor number is the GCF number.
So the greatest common factor 826,2489 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 563/826, 3557/2489

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 563/826, 3557/2489?

Answer: LCM of Numerators as per given numbers 563/826, 3557/2489 is

LCM of Numerators i.e. for 563,3557 is 2002591

GCF of denominators i.e. for 826,2489 is 1.

Thus, LCM of Fractions is 2002591.Finally, LCM of Fractions for 563/826, 3557/2489 is 2002591.