Least Common Multiple of 9689/52, 2746/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9689/52, 2746/802 quickly i.e. 13302997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9689/52, 2746/802 is 13302997.

LCM(9689/52, 2746/802) = 13302997

LCM of 9689/52, 2746/802

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 9689/52,2746/802

Given numbers are 9689/52,2746/802

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 9689,2746

Least Common Multiple of Numerators i.e. LCM of 9689,2746 is 26605994.

GCF of Denominators means GCF of 52,802 as per the given fractions.

GCF of 52,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9689,2746

LCM of Fractions 9689/52,2746/802 is 13302997

Given numbers has no common factors except 1. So, there LCM is their product i.e 26605994

Least Common Multiple of 9689,2746 with GCF Formula

Least Common Multiple of 9689,2746 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 9689,2746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9689,2746) = 1

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

GCF(9689,2746) x common factors =1 x 1 = 1

LCM(9689,2746) = ( 9689 × 2746 ) / 1

LCM(9689,2746) = 26605994 / 1

LCM(9689,2746) = 26605994


Lets's calculate GCF of 52,802

2 52, 802
26, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26605994/2

Therefore the LCM of Fractions 9689/52,2746/802 is 13302997

Greatest Common Factor of 52,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,802 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 52,802 . The biggest common factor number is the GCF number.
So the greatest common factor 52,802 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9689/52, 2746/802

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 9689/52, 2746/802?

Answer: LCM of Numerators as per given numbers 9689/52, 2746/802 is

LCM of Numerators i.e. for 9689,2746 is 26605994

GCF of denominators i.e. for 52,802 is 2.

Thus, LCM of Fractions is 13302997.Finally, LCM of Fractions for 9689/52, 2746/802 is 13302997.