Least Common Multiple of 743/23, 766/35, 235/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/23, 766/35, 235/592 quickly i.e. 133747430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/23, 766/35, 235/592 is 133747430.

LCM(743/23, 766/35, 235/592) = 133747430

LCM of 743/23, 766/35, 235/592

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 743/23,766/35,235/592

Given numbers are 743/23,766/35,235/592

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 743,766,235

Least Common Multiple of Numerators i.e. LCM of 743,766,235 is 133747430.

GCF of Denominators means GCF of 23,35,592 as per the given fractions.

GCF of 23,35,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,766,235

LCM of Fractions 743/23,766/35,235/592 is 133747430

Given numbers has no common factors except 1. So, there LCM is their product i.e 133747430

Least Common Multiple of 743,766,235 with GCF Formula

Least Common Multiple of 743,766,235 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 743,766,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,766,235) = 1

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

GCF(743,766,235) x common factors =1 x 1 = 1

LCM(743,766,235) = ( 743 × 766 × 235 ) / 1

LCM(743,766,235) = 133747430 / 1

LCM(743,766,235) = 133747430


Lets's calculate GCF of 23,35,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133747430/1

Therefore the LCM of Fractions 743/23,766/35,235/592 is 133747430

Greatest Common Factor of 23,35,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,35,592 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 23,35,592 . The biggest common factor number is the GCF number.
So the greatest common factor 23,35,592 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 743/23, 766/35, 235/592

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 743/23, 766/35, 235/592?

Answer: LCM of Numerators as per given numbers 743/23, 766/35, 235/592 is

LCM of Numerators i.e. for 743,766,235 is 133747430

GCF of denominators i.e. for 23,35,592 is 1.

Thus, LCM of Fractions is 133747430.Finally, LCM of Fractions for 743/23, 766/35, 235/592 is 133747430.