Least Common Multiple of 43/743, 29/471, 420/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/743, 29/471, 420/722 quickly i.e. 523740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/743, 29/471, 420/722 is 523740.

LCM(43/743, 29/471, 420/722) = 523740

LCM of 43/743, 29/471, 420/722

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 43/743,29/471,420/722

Given numbers are 43/743,29/471,420/722

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 43,29,420

Least Common Multiple of Numerators i.e. LCM of 43,29,420 is 523740.

GCF of Denominators means GCF of 743,471,722 as per the given fractions.

GCF of 743,471,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,29,420

LCM of Fractions 43/743,29/471,420/722 is 523740

Given numbers has no common factors except 1. So, there LCM is their product i.e 523740

Least Common Multiple of 43,29,420 with GCF Formula

Least Common Multiple of 43,29,420 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 43,29,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,29,420) = 1

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

GCF(43,29,420) x common factors =1 x 1 = 1

LCM(43,29,420) = ( 43 × 29 × 420 ) / 1

LCM(43,29,420) = 523740 / 1

LCM(43,29,420) = 523740


Lets's calculate GCF of 743,471,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523740/1

Therefore the LCM of Fractions 43/743,29/471,420/722 is 523740

Greatest Common Factor of 743,471,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,471,722 By Matching Biggest Common Factor Method

Factors of 743

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

1,743

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 743,471,722 . The biggest common factor number is the GCF number.
So the greatest common factor 743,471,722 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 43/743, 29/471, 420/722

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 43/743, 29/471, 420/722?

Answer: LCM of Numerators as per given numbers 43/743, 29/471, 420/722 is

LCM of Numerators i.e. for 43,29,420 is 523740

GCF of denominators i.e. for 743,471,722 is 1.

Thus, LCM of Fractions is 523740.Finally, LCM of Fractions for 43/743, 29/471, 420/722 is 523740.