Least Common Multiple of 523/13, 404/33, 679/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/13, 404/33, 679/782 quickly i.e. 143467268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/13, 404/33, 679/782 is 143467268.

LCM(523/13, 404/33, 679/782) = 143467268

LCM of 523/13, 404/33, 679/782

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 523/13,404/33,679/782

Given numbers are 523/13,404/33,679/782

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 523,404,679

Least Common Multiple of Numerators i.e. LCM of 523,404,679 is 143467268.

GCF of Denominators means GCF of 13,33,782 as per the given fractions.

GCF of 13,33,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,404,679

LCM of Fractions 523/13,404/33,679/782 is 143467268

Given numbers has no common factors except 1. So, there LCM is their product i.e 143467268

Least Common Multiple of 523,404,679 with GCF Formula

Least Common Multiple of 523,404,679 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 523,404,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,404,679) = 1

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

GCF(523,404,679) x common factors =1 x 1 = 1

LCM(523,404,679) = ( 523 × 404 × 679 ) / 1

LCM(523,404,679) = 143467268 / 1

LCM(523,404,679) = 143467268


Lets's calculate GCF of 13,33,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143467268/1

Therefore the LCM of Fractions 523/13,404/33,679/782 is 143467268

Greatest Common Factor of 13,33,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,33,782 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 13,33,782 . The biggest common factor number is the GCF number.
So the greatest common factor 13,33,782 is 1.


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 523/13, 404/33, 679/782

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 523/13, 404/33, 679/782?

Answer: LCM of Numerators as per given numbers 523/13, 404/33, 679/782 is

LCM of Numerators i.e. for 523,404,679 is 143467268

GCF of denominators i.e. for 13,33,782 is 1.

Thus, LCM of Fractions is 143467268.Finally, LCM of Fractions for 523/13, 404/33, 679/782 is 143467268.