Least Common Multiple of 600/148, 830/987, 569/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/148, 830/987, 569/500 quickly i.e. 28336200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/148, 830/987, 569/500 is 28336200.

LCM(600/148, 830/987, 569/500) = 28336200

LCM of 600/148, 830/987, 569/500

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 600/148,830/987,569/500

Given numbers are 600/148,830/987,569/500

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 600,830,569

Least Common Multiple of Numerators i.e. LCM of 600,830,569 is 28336200.

GCF of Denominators means GCF of 148,987,500 as per the given fractions.

GCF of 148,987,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,830,569

LCM of Fractions 600/148,830/987,569/500 is 28336200

2 600, 830, 569
5 300, 415, 569
60, 83, 569

∴ So the LCM of the given numbers is 2 x 5 x 60 x 83 x 569 = 28336200

Least Common Multiple of 600,830,569 with GCF Formula

Least Common Multiple of 600,830,569 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 600,830,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,830,569) = 1

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

GCF(600,830,569) x common factors =1 x 10 = 10

LCM(600,830,569) = ( 600 × 830 × 569 ) / 10

LCM(600,830,569) = 283362000 / 10

LCM(600,830,569) = 28336200


Lets's calculate GCF of 148,987,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28336200/1

Therefore the LCM of Fractions 600/148,830/987,569/500 is 28336200

Greatest Common Factor of 148,987,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,987,500 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 148,987,500 . The biggest common factor number is the GCF number.
So the greatest common factor 148,987,500 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 600/148, 830/987, 569/500

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 600/148, 830/987, 569/500?

Answer: LCM of Numerators as per given numbers 600/148, 830/987, 569/500 is

LCM of Numerators i.e. for 600,830,569 is 28336200

GCF of denominators i.e. for 148,987,500 is 1.

Thus, LCM of Fractions is 28336200.Finally, LCM of Fractions for 600/148, 830/987, 569/500 is 28336200.