Least Common Multiple of 258/749, 593/117, 233/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/749, 593/117, 233/743 quickly i.e. 35647602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/749, 593/117, 233/743 is 35647602.

LCM(258/749, 593/117, 233/743) = 35647602

LCM of 258/749, 593/117, 233/743

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 258/749,593/117,233/743

Given numbers are 258/749,593/117,233/743

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 258,593,233

Least Common Multiple of Numerators i.e. LCM of 258,593,233 is 35647602.

GCF of Denominators means GCF of 749,117,743 as per the given fractions.

GCF of 749,117,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,593,233

LCM of Fractions 258/749,593/117,233/743 is 35647602

Given numbers has no common factors except 1. So, there LCM is their product i.e 35647602

Least Common Multiple of 258,593,233 with GCF Formula

Least Common Multiple of 258,593,233 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 258,593,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,593,233) = 1

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

GCF(258,593,233) x common factors =1 x 1 = 1

LCM(258,593,233) = ( 258 × 593 × 233 ) / 1

LCM(258,593,233) = 35647602 / 1

LCM(258,593,233) = 35647602


Lets's calculate GCF of 749,117,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35647602/1

Therefore the LCM of Fractions 258/749,593/117,233/743 is 35647602

Greatest Common Factor of 749,117,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,117,743 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 749,117,743 . The biggest common factor number is the GCF number.
So the greatest common factor 749,117,743 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 258/749, 593/117, 233/743

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 258/749, 593/117, 233/743?

Answer: LCM of Numerators as per given numbers 258/749, 593/117, 233/743 is

LCM of Numerators i.e. for 258,593,233 is 35647602

GCF of denominators i.e. for 749,117,743 is 1.

Thus, LCM of Fractions is 35647602.Finally, LCM of Fractions for 258/749, 593/117, 233/743 is 35647602.