Least Common Multiple of 799/323, 2675/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 799/323, 2675/714 quickly i.e. 125725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/323, 2675/714 is 125725.

LCM(799/323, 2675/714) = 125725

LCM of 799/323, 2675/714

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 799/323,2675/714

Given numbers are 799/323,2675/714

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 799,2675

Least Common Multiple of Numerators i.e. LCM of 799,2675 is 2137325.

GCF of Denominators means GCF of 323,714 as per the given fractions.

GCF of 323,714 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,2675

LCM of Fractions 799/323,2675/714 is 125725

Given numbers has no common factors except 1. So, there LCM is their product i.e 2137325

Least Common Multiple of 799,2675 with GCF Formula

Least Common Multiple of 799,2675 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 799,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,2675) = 1

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

GCF(799,2675) x common factors =1 x 1 = 1

LCM(799,2675) = ( 799 × 2675 ) / 1

LCM(799,2675) = 2137325 / 1

LCM(799,2675) = 2137325


Lets's calculate GCF of 323,714

17 323, 714
19, 42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2137325/17

Therefore the LCM of Fractions 799/323,2675/714 is 125725

Greatest Common Factor of 323,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,714 By Matching Biggest Common Factor Method

Factors of 323

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

1,17,19,323

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 323,714 . The biggest common factor number is the GCF number.
So the greatest common factor 323,714 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 799/323, 2675/714

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 799/323, 2675/714?

Answer: LCM of Numerators as per given numbers 799/323, 2675/714 is

LCM of Numerators i.e. for 799,2675 is 2137325

GCF of denominators i.e. for 323,714 is 17.

Thus, LCM of Fractions is 125725.Finally, LCM of Fractions for 799/323, 2675/714 is 125725.