Least Common Multiple of 52/743, 993/879, 596/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/743, 993/879, 596/515 quickly i.e. 7693764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/743, 993/879, 596/515 is 7693764.

LCM(52/743, 993/879, 596/515) = 7693764

LCM of 52/743, 993/879, 596/515

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 52/743,993/879,596/515

Given numbers are 52/743,993/879,596/515

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 52,993,596

Least Common Multiple of Numerators i.e. LCM of 52,993,596 is 7693764.

GCF of Denominators means GCF of 743,879,515 as per the given fractions.

GCF of 743,879,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,993,596

LCM of Fractions 52/743,993/879,596/515 is 7693764

2 52, 993, 596
2 26, 993, 298
13, 993, 149

∴ So the LCM of the given numbers is 2 x 2 x 13 x 993 x 149 = 7693764

Least Common Multiple of 52,993,596 with GCF Formula

Least Common Multiple of 52,993,596 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 52,993,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,993,596) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,993,596) x common factors =1 x 4 = 4

LCM(52,993,596) = ( 52 × 993 × 596 ) / 4

LCM(52,993,596) = 30775056 / 4

LCM(52,993,596) = 7693764


Lets's calculate GCF of 743,879,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7693764/1

Therefore the LCM of Fractions 52/743,993/879,596/515 is 7693764

Greatest Common Factor of 743,879,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,879,515 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 743,879,515 . The biggest common factor number is the GCF number.
So the greatest common factor 743,879,515 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 52/743, 993/879, 596/515

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 52/743, 993/879, 596/515?

Answer: LCM of Numerators as per given numbers 52/743, 993/879, 596/515 is

LCM of Numerators i.e. for 52,993,596 is 7693764

GCF of denominators i.e. for 743,879,515 is 1.

Thus, LCM of Fractions is 7693764.Finally, LCM of Fractions for 52/743, 993/879, 596/515 is 7693764.