Least Common Multiple of 515/26, 2002/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 515/26, 2002/696 quickly i.e. 515515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/26, 2002/696 is 515515.

LCM(515/26, 2002/696) = 515515

LCM of 515/26, 2002/696

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 515/26,2002/696

Given numbers are 515/26,2002/696

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 515,2002

Least Common Multiple of Numerators i.e. LCM of 515,2002 is 1031030.

GCF of Denominators means GCF of 26,696 as per the given fractions.

GCF of 26,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,2002

LCM of Fractions 515/26,2002/696 is 515515

Given numbers has no common factors except 1. So, there LCM is their product i.e 1031030

Least Common Multiple of 515,2002 with GCF Formula

Least Common Multiple of 515,2002 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 515,2002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,2002) = 1

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

GCF(515,2002) x common factors =1 x 1 = 1

LCM(515,2002) = ( 515 × 2002 ) / 1

LCM(515,2002) = 1031030 / 1

LCM(515,2002) = 1031030


Lets's calculate GCF of 26,696

2 26, 696
13, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1031030/2

Therefore the LCM of Fractions 515/26,2002/696 is 515515

Greatest Common Factor of 26,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,696 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 26,696 . The biggest common factor number is the GCF number.
So the greatest common factor 26,696 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 515/26, 2002/696

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 515/26, 2002/696?

Answer: LCM of Numerators as per given numbers 515/26, 2002/696 is

LCM of Numerators i.e. for 515,2002 is 1031030

GCF of denominators i.e. for 26,696 is 2.

Thus, LCM of Fractions is 515515.Finally, LCM of Fractions for 515/26, 2002/696 is 515515.