Least Common Multiple of 789/993, 6217/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/993, 6217/123 quickly i.e. 1635071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/993, 6217/123 is 1635071.

LCM(789/993, 6217/123) = 1635071

LCM of 789/993, 6217/123

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 789/993,6217/123

Given numbers are 789/993,6217/123

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 789,6217

Least Common Multiple of Numerators i.e. LCM of 789,6217 is 4905213.

GCF of Denominators means GCF of 993,123 as per the given fractions.

GCF of 993,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,6217

LCM of Fractions 789/993,6217/123 is 1635071

Given numbers has no common factors except 1. So, there LCM is their product i.e 4905213

Least Common Multiple of 789,6217 with GCF Formula

Least Common Multiple of 789,6217 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 789,6217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,6217) = 1

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

GCF(789,6217) x common factors =1 x 1 = 1

LCM(789,6217) = ( 789 × 6217 ) / 1

LCM(789,6217) = 4905213 / 1

LCM(789,6217) = 4905213


Lets's calculate GCF of 993,123

3 993, 123
331, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4905213/3

Therefore the LCM of Fractions 789/993,6217/123 is 1635071

Greatest Common Factor of 993,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,123 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 993,123 . The biggest common factor number is the GCF number.
So the greatest common factor 993,123 is 3.


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 789/993, 6217/123

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 789/993, 6217/123?

Answer: LCM of Numerators as per given numbers 789/993, 6217/123 is

LCM of Numerators i.e. for 789,6217 is 4905213

GCF of denominators i.e. for 993,123 is 3.

Thus, LCM of Fractions is 1635071.Finally, LCM of Fractions for 789/993, 6217/123 is 1635071.