Least Common Multiple of 7415/799, 8929/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7415/799, 8929/323 quickly i.e. 66208535/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7415/799, 8929/323 is 66208535/17.

LCM(7415/799, 8929/323) = 66208535/17

LCM of 7415/799, 8929/323

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 7415/799,8929/323

Given numbers are 7415/799,8929/323

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 7415,8929

Least Common Multiple of Numerators i.e. LCM of 7415,8929 is 66208535.

GCF of Denominators means GCF of 799,323 as per the given fractions.

GCF of 799,323 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7415,8929

LCM of Fractions 7415/799,8929/323 is 66208535/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 66208535

Least Common Multiple of 7415,8929 with GCF Formula

Least Common Multiple of 7415,8929 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 7415,8929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7415,8929) = 1

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

GCF(7415,8929) x common factors =1 x 1 = 1

LCM(7415,8929) = ( 7415 × 8929 ) / 1

LCM(7415,8929) = 66208535 / 1

LCM(7415,8929) = 66208535


Lets's calculate GCF of 799,323

17 799, 323
47, 19

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66208535/17

Therefore the LCM of Fractions 7415/799,8929/323 is 66208535/17

Greatest Common Factor of 799,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,323 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 799,323 . The biggest common factor number is the GCF number.
So the greatest common factor 799,323 is 17.


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 7415/799, 8929/323

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 7415/799, 8929/323?

Answer: LCM of Numerators as per given numbers 7415/799, 8929/323 is

LCM of Numerators i.e. for 7415,8929 is 66208535

GCF of denominators i.e. for 799,323 is 17.

Thus, LCM of Fractions is 66208535/17.Finally, LCM of Fractions for 7415/799, 8929/323 is 66208535/17.