Least Common Multiple of 40/520, 50/384, 998/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/520, 50/384, 998/673 quickly i.e. 99800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/520, 50/384, 998/673 is 99800.

LCM(40/520, 50/384, 998/673) = 99800

LCM of 40/520, 50/384, 998/673

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 40/520,50/384,998/673

Given numbers are 40/520,50/384,998/673

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 40,50,998

Least Common Multiple of Numerators i.e. LCM of 40,50,998 is 99800.

GCF of Denominators means GCF of 520,384,673 as per the given fractions.

GCF of 520,384,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,50,998

LCM of Fractions 40/520,50/384,998/673 is 99800

2 40, 50, 998
5 20, 25, 499
4, 5, 499

∴ So the LCM of the given numbers is 2 x 5 x 4 x 5 x 499 = 99800

Least Common Multiple of 40,50,998 with GCF Formula

Least Common Multiple of 40,50,998 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 40,50,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,50,998) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(40,50,998) x common factors =2 x 10 = 20

LCM(40,50,998) = ( 40 × 50 × 998 ) / 20

LCM(40,50,998) = 1996000 / 20

LCM(40,50,998) = 99800


Lets's calculate GCF of 520,384,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99800/1

Therefore the LCM of Fractions 40/520,50/384,998/673 is 99800

Greatest Common Factor of 520,384,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,384,673 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 520,384,673 . The biggest common factor number is the GCF number.
So the greatest common factor 520,384,673 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 40/520, 50/384, 998/673

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 40/520, 50/384, 998/673?

Answer: LCM of Numerators as per given numbers 40/520, 50/384, 998/673 is

LCM of Numerators i.e. for 40,50,998 is 99800

GCF of denominators i.e. for 520,384,673 is 1.

Thus, LCM of Fractions is 99800.Finally, LCM of Fractions for 40/520, 50/384, 998/673 is 99800.