Least Common Multiple of 752/43, 819/74, 271/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/43, 819/74, 271/233 quickly i.e. 166905648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/43, 819/74, 271/233 is 166905648.

LCM(752/43, 819/74, 271/233) = 166905648

LCM of 752/43, 819/74, 271/233

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 752/43,819/74,271/233

Given numbers are 752/43,819/74,271/233

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 752,819,271

Least Common Multiple of Numerators i.e. LCM of 752,819,271 is 166905648.

GCF of Denominators means GCF of 43,74,233 as per the given fractions.

GCF of 43,74,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,819,271

LCM of Fractions 752/43,819/74,271/233 is 166905648

Given numbers has no common factors except 1. So, there LCM is their product i.e 166905648

Least Common Multiple of 752,819,271 with GCF Formula

Least Common Multiple of 752,819,271 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 752,819,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,819,271) = 1

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

GCF(752,819,271) x common factors =1 x 1 = 1

LCM(752,819,271) = ( 752 × 819 × 271 ) / 1

LCM(752,819,271) = 166905648 / 1

LCM(752,819,271) = 166905648


Lets's calculate GCF of 43,74,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166905648/1

Therefore the LCM of Fractions 752/43,819/74,271/233 is 166905648

Greatest Common Factor of 43,74,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,74,233 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 43,74,233 . The biggest common factor number is the GCF number.
So the greatest common factor 43,74,233 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 752/43, 819/74, 271/233

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 752/43, 819/74, 271/233?

Answer: LCM of Numerators as per given numbers 752/43, 819/74, 271/233 is

LCM of Numerators i.e. for 752,819,271 is 166905648

GCF of denominators i.e. for 43,74,233 is 1.

Thus, LCM of Fractions is 166905648.Finally, LCM of Fractions for 752/43, 819/74, 271/233 is 166905648.