Least Common Multiple of 716/998, 198/802, 240/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/998, 198/802, 240/443 quickly i.e. 1417680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/998, 198/802, 240/443 is 1417680.

LCM(716/998, 198/802, 240/443) = 1417680

LCM of 716/998, 198/802, 240/443

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 716/998,198/802,240/443

Given numbers are 716/998,198/802,240/443

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 716,198,240

Least Common Multiple of Numerators i.e. LCM of 716,198,240 is 1417680.

GCF of Denominators means GCF of 998,802,443 as per the given fractions.

GCF of 998,802,443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,198,240

LCM of Fractions 716/998,198/802,240/443 is 1417680

2 716, 198, 240
2 358, 99, 120
3 179, 99, 60
179, 33, 20

∴ So the LCM of the given numbers is 2 x 2 x 3 x 179 x 33 x 20 = 1417680

Least Common Multiple of 716,198,240 with GCF Formula

Least Common Multiple of 716,198,240 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 716,198,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,198,240) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(716,198,240) x common factors =2 x 12 = 24

LCM(716,198,240) = ( 716 × 198 × 240 ) / 24

LCM(716,198,240) = 34024320 / 24

LCM(716,198,240) = 1417680


Lets's calculate GCF of 998,802,443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1417680/1

Therefore the LCM of Fractions 716/998,198/802,240/443 is 1417680

Greatest Common Factor of 998,802,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,802,443 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 998,802,443 . The biggest common factor number is the GCF number.
So the greatest common factor 998,802,443 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 716/998, 198/802, 240/443

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 716/998, 198/802, 240/443?

Answer: LCM of Numerators as per given numbers 716/998, 198/802, 240/443 is

LCM of Numerators i.e. for 716,198,240 is 1417680

GCF of denominators i.e. for 998,802,443 is 1.

Thus, LCM of Fractions is 1417680.Finally, LCM of Fractions for 716/998, 198/802, 240/443 is 1417680.