Least Common Multiple of 521/783, 9726/2900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/783, 9726/2900 quickly i.e. 5067246/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/783, 9726/2900 is 5067246/29.

LCM(521/783, 9726/2900) = 5067246/29

LCM of 521/783, 9726/2900

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 521/783,9726/2900

Given numbers are 521/783,9726/2900

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 521,9726

Least Common Multiple of Numerators i.e. LCM of 521,9726 is 5067246.

GCF of Denominators means GCF of 783,2900 as per the given fractions.

GCF of 783,2900 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,9726

LCM of Fractions 521/783,9726/2900 is 5067246/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 5067246

Least Common Multiple of 521,9726 with GCF Formula

Least Common Multiple of 521,9726 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 521,9726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,9726) = 1

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

GCF(521,9726) x common factors =1 x 1 = 1

LCM(521,9726) = ( 521 × 9726 ) / 1

LCM(521,9726) = 5067246 / 1

LCM(521,9726) = 5067246


Lets's calculate GCF of 783,2900

29 783, 2900
27, 100

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5067246/29

Therefore the LCM of Fractions 521/783,9726/2900 is 5067246/29

Greatest Common Factor of 783,2900 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,2900 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900

Greatest Common Factor

We found the factors 783,2900 . The biggest common factor number is the GCF number.
So the greatest common factor 783,2900 is 29.


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 521/783, 9726/2900

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 521/783, 9726/2900?

Answer: LCM of Numerators as per given numbers 521/783, 9726/2900 is

LCM of Numerators i.e. for 521,9726 is 5067246

GCF of denominators i.e. for 783,2900 is 29.

Thus, LCM of Fractions is 5067246/29.Finally, LCM of Fractions for 521/783, 9726/2900 is 5067246/29.