Least Common Multiple of 7701/993, 5083/6113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7701/993, 5083/6113 quickly i.e. 2302599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7701/993, 5083/6113 is 2302599.

LCM(7701/993, 5083/6113) = 2302599

LCM of 7701/993, 5083/6113

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 7701/993,5083/6113

Given numbers are 7701/993,5083/6113

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 7701,5083

Least Common Multiple of Numerators i.e. LCM of 7701,5083 is 2302599.

GCF of Denominators means GCF of 993,6113 as per the given fractions.

GCF of 993,6113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7701,5083

LCM of Fractions 7701/993,5083/6113 is 2302599

17 7701, 5083
453, 299

∴ So the LCM of the given numbers is 17 x 453 x 299 = 2302599

Least Common Multiple of 7701,5083 with GCF Formula

Least Common Multiple of 7701,5083 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 7701,5083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7701,5083) = 17

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

GCF(7701,5083) x common factors =17 x 1 = 17

LCM(7701,5083) = ( 7701 × 5083 ) / 17

LCM(7701,5083) = 39144183 / 17

LCM(7701,5083) = 2302599


Lets's calculate GCF of 993,6113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2302599/1

Therefore the LCM of Fractions 7701/993,5083/6113 is 2302599

Greatest Common Factor of 993,6113 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,6113 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 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1,6113

Greatest Common Factor

We found the factors 993,6113 . The biggest common factor number is the GCF number.
So the greatest common factor 993,6113 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 7701/993, 5083/6113

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 7701/993, 5083/6113?

Answer: LCM of Numerators as per given numbers 7701/993, 5083/6113 is

LCM of Numerators i.e. for 7701,5083 is 2302599

GCF of denominators i.e. for 993,6113 is 1.

Thus, LCM of Fractions is 2302599.Finally, LCM of Fractions for 7701/993, 5083/6113 is 2302599.