Least Common Multiple of 30/45, 405/34, 144/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/45, 405/34, 144/197 quickly i.e. 6480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/45, 405/34, 144/197 is 6480.

LCM(30/45, 405/34, 144/197) = 6480

LCM of 30/45, 405/34, 144/197

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 30/45,405/34,144/197

Given numbers are 30/45,405/34,144/197

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 30,405,144

Least Common Multiple of Numerators i.e. LCM of 30,405,144 is 6480.

GCF of Denominators means GCF of 45,34,197 as per the given fractions.

GCF of 45,34,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,405,144

LCM of Fractions 30/45,405/34,144/197 is 6480

2 30, 405, 144
3 15, 405, 72
3 5, 135, 24
5 5, 45, 8
1, 9, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 9 x 8 = 6480

Least Common Multiple of 30,405,144 with GCF Formula

Least Common Multiple of 30,405,144 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 30,405,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,405,144) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(30,405,144) x common factors =3 x 90 = 270

LCM(30,405,144) = ( 30 × 405 × 144 ) / 270

LCM(30,405,144) = 1749600 / 270

LCM(30,405,144) = 6480


Lets's calculate GCF of 45,34,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6480/1

Therefore the LCM of Fractions 30/45,405/34,144/197 is 6480

Greatest Common Factor of 45,34,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,34,197 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 45,34,197 . The biggest common factor number is the GCF number.
So the greatest common factor 45,34,197 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 30/45, 405/34, 144/197

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 30/45, 405/34, 144/197?

Answer: LCM of Numerators as per given numbers 30/45, 405/34, 144/197 is

LCM of Numerators i.e. for 30,405,144 is 6480

GCF of denominators i.e. for 45,34,197 is 1.

Thus, LCM of Fractions is 6480.Finally, LCM of Fractions for 30/45, 405/34, 144/197 is 6480.