Least Common Multiple of 30/47, 144/73, 544/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/47, 144/73, 544/940 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/47, 144/73, 544/940 is 24480.

LCM(30/47, 144/73, 544/940) = 24480

LCM of 30/47, 144/73, 544/940

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 30/47,144/73,544/940

Given numbers are 30/47,144/73,544/940

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 30,144,544

Least Common Multiple of Numerators i.e. LCM of 30,144,544 is 24480.

GCF of Denominators means GCF of 47,73,940 as per the given fractions.

GCF of 47,73,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,144,544

LCM of Fractions 30/47,144/73,544/940 is 24480

2 30, 144, 544
2 15, 72, 272
2 15, 36, 136
2 15, 18, 68
3 15, 9, 34
5, 3, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 3 x 34 = 24480

Least Common Multiple of 30,144,544 with GCF Formula

Least Common Multiple of 30,144,544 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 30,144,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,144,544) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(30,144,544) x common factors =2 x 48 = 96

LCM(30,144,544) = ( 30 × 144 × 544 ) / 96

LCM(30,144,544) = 2350080 / 96

LCM(30,144,544) = 24480


Lets's calculate GCF of 47,73,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1

Therefore the LCM of Fractions 30/47,144/73,544/940 is 24480

Greatest Common Factor of 47,73,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,73,940 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 47,73,940 . The biggest common factor number is the GCF number.
So the greatest common factor 47,73,940 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 30/47, 144/73, 544/940

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 30/47, 144/73, 544/940?

Answer: LCM of Numerators as per given numbers 30/47, 144/73, 544/940 is

LCM of Numerators i.e. for 30,144,544 is 24480

GCF of denominators i.e. for 47,73,940 is 1.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 30/47, 144/73, 544/940 is 24480.