Least Common Multiple of 7691/849, 3019/5002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7691/849, 3019/5002 quickly i.e. 23219129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7691/849, 3019/5002 is 23219129.

LCM(7691/849, 3019/5002) = 23219129

LCM of 7691/849, 3019/5002

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 7691/849,3019/5002

Given numbers are 7691/849,3019/5002

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 7691,3019

Least Common Multiple of Numerators i.e. LCM of 7691,3019 is 23219129.

GCF of Denominators means GCF of 849,5002 as per the given fractions.

GCF of 849,5002 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7691,3019

LCM of Fractions 7691/849,3019/5002 is 23219129

Given numbers has no common factors except 1. So, there LCM is their product i.e 23219129

Least Common Multiple of 7691,3019 with GCF Formula

Least Common Multiple of 7691,3019 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 7691,3019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7691,3019) = 1

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

GCF(7691,3019) x common factors =1 x 1 = 1

LCM(7691,3019) = ( 7691 × 3019 ) / 1

LCM(7691,3019) = 23219129 / 1

LCM(7691,3019) = 23219129


Lets's calculate GCF of 849,5002

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23219129/1

Therefore the LCM of Fractions 7691/849,3019/5002 is 23219129

Greatest Common Factor of 849,5002 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,5002 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1,2,41,61,82,122,2501,5002

Greatest Common Factor

We found the factors 849,5002 . The biggest common factor number is the GCF number.
So the greatest common factor 849,5002 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 7691/849, 3019/5002

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 7691/849, 3019/5002?

Answer: LCM of Numerators as per given numbers 7691/849, 3019/5002 is

LCM of Numerators i.e. for 7691,3019 is 23219129

GCF of denominators i.e. for 849,5002 is 1.

Thus, LCM of Fractions is 23219129.Finally, LCM of Fractions for 7691/849, 3019/5002 is 23219129.