Least Common Multiple of 600/558, 9930/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/558, 9930/220 quickly i.e. 99300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/558, 9930/220 is 99300.

LCM(600/558, 9930/220) = 99300

LCM of 600/558, 9930/220

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 600/558,9930/220

Given numbers are 600/558,9930/220

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 600,9930

Least Common Multiple of Numerators i.e. LCM of 600,9930 is 198600.

GCF of Denominators means GCF of 558,220 as per the given fractions.

GCF of 558,220 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,9930

LCM of Fractions 600/558,9930/220 is 99300

2 600, 9930
3 300, 4965
5 100, 1655
20, 331

∴ So the LCM of the given numbers is 2 x 3 x 5 x 20 x 331 = 198600

Least Common Multiple of 600,9930 with GCF Formula

Least Common Multiple of 600,9930 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 600,9930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,9930) = 30

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

GCF(600,9930) x common factors =30 x 1 = 30

LCM(600,9930) = ( 600 × 9930 ) / 30

LCM(600,9930) = 5958000 / 30

LCM(600,9930) = 198600


Lets's calculate GCF of 558,220

2 558, 220
279, 110

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198600/2

Therefore the LCM of Fractions 600/558,9930/220 is 99300

Greatest Common Factor of 558,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,220 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 558,220 . The biggest common factor number is the GCF number.
So the greatest common factor 558,220 is 2.


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 600/558, 9930/220

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 600/558, 9930/220?

Answer: LCM of Numerators as per given numbers 600/558, 9930/220 is

LCM of Numerators i.e. for 600,9930 is 198600

GCF of denominators i.e. for 558,220 is 2.

Thus, LCM of Fractions is 99300.Finally, LCM of Fractions for 600/558, 9930/220 is 99300.