Least Common Multiple of 998/20, 593/79, 510/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/20, 593/79, 510/716 quickly i.e. 150912570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/20, 593/79, 510/716 is 150912570.

LCM(998/20, 593/79, 510/716) = 150912570

LCM of 998/20, 593/79, 510/716

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 998/20,593/79,510/716

Given numbers are 998/20,593/79,510/716

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 998,593,510

Least Common Multiple of Numerators i.e. LCM of 998,593,510 is 150912570.

GCF of Denominators means GCF of 20,79,716 as per the given fractions.

GCF of 20,79,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,593,510

LCM of Fractions 998/20,593/79,510/716 is 150912570

2 998, 593, 510
499, 593, 255

∴ So the LCM of the given numbers is 2 x 499 x 593 x 255 = 150912570

Least Common Multiple of 998,593,510 with GCF Formula

Least Common Multiple of 998,593,510 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 998,593,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,593,510) = 1

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

GCF(998,593,510) x common factors =1 x 2 = 2

LCM(998,593,510) = ( 998 × 593 × 510 ) / 2

LCM(998,593,510) = 301825140 / 2

LCM(998,593,510) = 150912570


Lets's calculate GCF of 20,79,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150912570/1

Therefore the LCM of Fractions 998/20,593/79,510/716 is 150912570

Greatest Common Factor of 20,79,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,79,716 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 20,79,716 . The biggest common factor number is the GCF number.
So the greatest common factor 20,79,716 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 998/20, 593/79, 510/716

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 998/20, 593/79, 510/716?

Answer: LCM of Numerators as per given numbers 998/20, 593/79, 510/716 is

LCM of Numerators i.e. for 998,593,510 is 150912570

GCF of denominators i.e. for 20,79,716 is 1.

Thus, LCM of Fractions is 150912570.Finally, LCM of Fractions for 998/20, 593/79, 510/716 is 150912570.