Least Common Multiple of 8729/235, 2994/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8729/235, 2994/752 quickly i.e. 26134626/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8729/235, 2994/752 is 26134626/47.

LCM(8729/235, 2994/752) = 26134626/47

LCM of 8729/235, 2994/752

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 8729/235,2994/752

Given numbers are 8729/235,2994/752

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 8729,2994

Least Common Multiple of Numerators i.e. LCM of 8729,2994 is 26134626.

GCF of Denominators means GCF of 235,752 as per the given fractions.

GCF of 235,752 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8729,2994

LCM of Fractions 8729/235,2994/752 is 26134626/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 26134626

Least Common Multiple of 8729,2994 with GCF Formula

Least Common Multiple of 8729,2994 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 8729,2994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8729,2994) = 1

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

GCF(8729,2994) x common factors =1 x 1 = 1

LCM(8729,2994) = ( 8729 × 2994 ) / 1

LCM(8729,2994) = 26134626 / 1

LCM(8729,2994) = 26134626


Lets's calculate GCF of 235,752

47 235, 752
5, 16

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26134626/47

Therefore the LCM of Fractions 8729/235,2994/752 is 26134626/47

Greatest Common Factor of 235,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,752 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 235,752 . The biggest common factor number is the GCF number.
So the greatest common factor 235,752 is 47.


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 8729/235, 2994/752

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 8729/235, 2994/752?

Answer: LCM of Numerators as per given numbers 8729/235, 2994/752 is

LCM of Numerators i.e. for 8729,2994 is 26134626

GCF of denominators i.e. for 235,752 is 47.

Thus, LCM of Fractions is 26134626/47.Finally, LCM of Fractions for 8729/235, 2994/752 is 26134626/47.