Least Common Multiple of 993/72, 521/49, 789/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/72, 521/49, 789/858 quickly i.e. 136063839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/72, 521/49, 789/858 is 136063839.

LCM(993/72, 521/49, 789/858) = 136063839

LCM of 993/72, 521/49, 789/858

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 993/72,521/49,789/858

Given numbers are 993/72,521/49,789/858

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 993,521,789

Least Common Multiple of Numerators i.e. LCM of 993,521,789 is 136063839.

GCF of Denominators means GCF of 72,49,858 as per the given fractions.

GCF of 72,49,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,521,789

LCM of Fractions 993/72,521/49,789/858 is 136063839

3 993, 521, 789
331, 521, 263

∴ So the LCM of the given numbers is 3 x 331 x 521 x 263 = 136063839

Least Common Multiple of 993,521,789 with GCF Formula

Least Common Multiple of 993,521,789 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 993,521,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,521,789) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(993,521,789) x common factors =1 x 3 = 3

LCM(993,521,789) = ( 993 × 521 × 789 ) / 3

LCM(993,521,789) = 408191517 / 3

LCM(993,521,789) = 136063839


Lets's calculate GCF of 72,49,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136063839/1

Therefore the LCM of Fractions 993/72,521/49,789/858 is 136063839

Greatest Common Factor of 72,49,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,49,858 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 72,49,858 . The biggest common factor number is the GCF number.
So the greatest common factor 72,49,858 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 993/72, 521/49, 789/858

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 993/72, 521/49, 789/858?

Answer: LCM of Numerators as per given numbers 993/72, 521/49, 789/858 is

LCM of Numerators i.e. for 993,521,789 is 136063839

GCF of denominators i.e. for 72,49,858 is 1.

Thus, LCM of Fractions is 136063839.Finally, LCM of Fractions for 993/72, 521/49, 789/858 is 136063839.