Least Common Multiple of 830/743, 721/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/743, 721/414 quickly i.e. 598430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/743, 721/414 is 598430.

LCM(830/743, 721/414) = 598430

LCM of 830/743, 721/414

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 830/743,721/414

Given numbers are 830/743,721/414

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 830,721

Least Common Multiple of Numerators i.e. LCM of 830,721 is 598430.

GCF of Denominators means GCF of 743,414 as per the given fractions.

GCF of 743,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,721

LCM of Fractions 830/743,721/414 is 598430

Given numbers has no common factors except 1. So, there LCM is their product i.e 598430

Least Common Multiple of 830,721 with GCF Formula

Least Common Multiple of 830,721 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 830,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,721) = 1

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

GCF(830,721) x common factors =1 x 1 = 1

LCM(830,721) = ( 830 × 721 ) / 1

LCM(830,721) = 598430 / 1

LCM(830,721) = 598430


Lets's calculate GCF of 743,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598430/1

Therefore the LCM of Fractions 830/743,721/414 is 598430

Greatest Common Factor of 743,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,414 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 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 743,414 . The biggest common factor number is the GCF number.
So the greatest common factor 743,414 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 830/743, 721/414

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 830/743, 721/414?

Answer: LCM of Numerators as per given numbers 830/743, 721/414 is

LCM of Numerators i.e. for 830,721 is 598430

GCF of denominators i.e. for 743,414 is 1.

Thus, LCM of Fractions is 598430.Finally, LCM of Fractions for 830/743, 721/414 is 598430.