Least Common Multiple of 501/67, 742/81, 743/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/67, 742/81, 743/375 quickly i.e. 276204306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/67, 742/81, 743/375 is 276204306.

LCM(501/67, 742/81, 743/375) = 276204306

LCM of 501/67, 742/81, 743/375

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 501/67,742/81,743/375

Given numbers are 501/67,742/81,743/375

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 501,742,743

Least Common Multiple of Numerators i.e. LCM of 501,742,743 is 276204306.

GCF of Denominators means GCF of 67,81,375 as per the given fractions.

GCF of 67,81,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,742,743

LCM of Fractions 501/67,742/81,743/375 is 276204306

Given numbers has no common factors except 1. So, there LCM is their product i.e 276204306

Least Common Multiple of 501,742,743 with GCF Formula

Least Common Multiple of 501,742,743 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 501,742,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,742,743) = 1

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

GCF(501,742,743) x common factors =1 x 1 = 1

LCM(501,742,743) = ( 501 × 742 × 743 ) / 1

LCM(501,742,743) = 276204306 / 1

LCM(501,742,743) = 276204306


Lets's calculate GCF of 67,81,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276204306/1

Therefore the LCM of Fractions 501/67,742/81,743/375 is 276204306

Greatest Common Factor of 67,81,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,81,375 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 67,81,375 . The biggest common factor number is the GCF number.
So the greatest common factor 67,81,375 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 501/67, 742/81, 743/375

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 501/67, 742/81, 743/375?

Answer: LCM of Numerators as per given numbers 501/67, 742/81, 743/375 is

LCM of Numerators i.e. for 501,742,743 is 276204306

GCF of denominators i.e. for 67,81,375 is 1.

Thus, LCM of Fractions is 276204306.Finally, LCM of Fractions for 501/67, 742/81, 743/375 is 276204306.