Least Common Multiple of 198/69, 325/45, 748/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/69, 325/45, 748/30 quickly i.e. 729300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/69, 325/45, 748/30 is 729300.

LCM(198/69, 325/45, 748/30) = 729300

LCM of 198/69, 325/45, 748/30

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 198/69,325/45,748/30

Given numbers are 198/69,325/45,748/30

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 198,325,748

Least Common Multiple of Numerators i.e. LCM of 198,325,748 is 2187900.

GCF of Denominators means GCF of 69,45,30 as per the given fractions.

GCF of 69,45,30 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,325,748

LCM of Fractions 198/69,325/45,748/30 is 729300

2 198, 325, 748
11 99, 325, 374
9, 325, 34

∴ So the LCM of the given numbers is 2 x 11 x 9 x 325 x 34 = 2187900

Least Common Multiple of 198,325,748 with GCF Formula

Least Common Multiple of 198,325,748 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 198,325,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,325,748) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(198,325,748) x common factors =1 x 22 = 22

LCM(198,325,748) = ( 198 × 325 × 748 ) / 22

LCM(198,325,748) = 48133800 / 22

LCM(198,325,748) = 2187900


Lets's calculate GCF of 69,45,30

3 69, 45, 30
23, 15, 10

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2187900/3

Therefore the LCM of Fractions 198/69,325/45,748/30 is 729300

Greatest Common Factor of 69,45,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,45,30 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 69,45,30 . The biggest common factor number is the GCF number.
So the greatest common factor 69,45,30 is 3.


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 198/69, 325/45, 748/30

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 198/69, 325/45, 748/30?

Answer: LCM of Numerators as per given numbers 198/69, 325/45, 748/30 is

LCM of Numerators i.e. for 198,325,748 is 2187900

GCF of denominators i.e. for 69,45,30 is 3.

Thus, LCM of Fractions is 729300.Finally, LCM of Fractions for 198/69, 325/45, 748/30 is 729300.