Least Common Multiple of 743/73, 202/72, 130/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/73, 202/72, 130/159 quickly i.e. 9755590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/73, 202/72, 130/159 is 9755590.

LCM(743/73, 202/72, 130/159) = 9755590

LCM of 743/73, 202/72, 130/159

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 743/73,202/72,130/159

Given numbers are 743/73,202/72,130/159

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 743,202,130

Least Common Multiple of Numerators i.e. LCM of 743,202,130 is 9755590.

GCF of Denominators means GCF of 73,72,159 as per the given fractions.

GCF of 73,72,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,202,130

LCM of Fractions 743/73,202/72,130/159 is 9755590

2 743, 202, 130
743, 101, 65

∴ So the LCM of the given numbers is 2 x 743 x 101 x 65 = 9755590

Least Common Multiple of 743,202,130 with GCF Formula

Least Common Multiple of 743,202,130 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 743,202,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,202,130) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(743,202,130) x common factors =1 x 2 = 2

LCM(743,202,130) = ( 743 × 202 × 130 ) / 2

LCM(743,202,130) = 19511180 / 2

LCM(743,202,130) = 9755590


Lets's calculate GCF of 73,72,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9755590/1

Therefore the LCM of Fractions 743/73,202/72,130/159 is 9755590

Greatest Common Factor of 73,72,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,72,159 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 73,72,159 . The biggest common factor number is the GCF number.
So the greatest common factor 73,72,159 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 743/73, 202/72, 130/159

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 743/73, 202/72, 130/159?

Answer: LCM of Numerators as per given numbers 743/73, 202/72, 130/159 is

LCM of Numerators i.e. for 743,202,130 is 9755590

GCF of denominators i.e. for 73,72,159 is 1.

Thus, LCM of Fractions is 9755590.Finally, LCM of Fractions for 743/73, 202/72, 130/159 is 9755590.