Least Common Multiple of 259/36, 629/7529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 259/36, 629/7529 quickly i.e. 4403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 259/36, 629/7529 is 4403.

LCM(259/36, 629/7529) = 4403

LCM of 259/36, 629/7529

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 259/36,629/7529

Given numbers are 259/36,629/7529

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 259,629

Least Common Multiple of Numerators i.e. LCM of 259,629 is 4403.

GCF of Denominators means GCF of 36,7529 as per the given fractions.

GCF of 36,7529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 259,629

LCM of Fractions 259/36,629/7529 is 4403

37 259, 629
7, 17

∴ So the LCM of the given numbers is 37 x 7 x 17 = 4403

Least Common Multiple of 259,629 with GCF Formula

Least Common Multiple of 259,629 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 259,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,629) = 37

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

GCF(259,629) x common factors =37 x 1 = 37

LCM(259,629) = ( 259 × 629 ) / 37

LCM(259,629) = 162911 / 37

LCM(259,629) = 4403


Lets's calculate GCF of 36,7529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4403/1

Therefore the LCM of Fractions 259/36,629/7529 is 4403

Greatest Common Factor of 36,7529 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,7529 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 7529

List of positive integer factors of 7529 that divides 7529 without a remainder.

1,7529

Greatest Common Factor

We found the factors 36,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 36,7529 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 259/36, 629/7529

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 259/36, 629/7529?

Answer: LCM of Numerators as per given numbers 259/36, 629/7529 is

LCM of Numerators i.e. for 259,629 is 4403

GCF of denominators i.e. for 36,7529 is 1.

Thus, LCM of Fractions is 4403.Finally, LCM of Fractions for 259/36, 629/7529 is 4403.