Least Common Multiple of 96/45, 32/91, 30/47, 73/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/45, 32/91, 30/47, 73/912 quickly i.e. 35040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/45, 32/91, 30/47, 73/912 is 35040.

LCM(96/45, 32/91, 30/47, 73/912) = 35040

LCM of 96/45, 32/91, 30/47, 73/912

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 96/45,32/91,30/47,73/912

Given numbers are 96/45,32/91,30/47,73/912

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 96,32,30,73

Least Common Multiple of Numerators i.e. LCM of 96,32,30,73 is 35040.

GCF of Denominators means GCF of 45,91,47,912 as per the given fractions.

GCF of 45,91,47,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,32,30,73

LCM of Fractions 96/45,32/91,30/47,73/912 is 35040

2 96, 32, 30, 73
2 48, 16, 15, 73
2 24, 8, 15, 73
2 12, 4, 15, 73
2 6, 2, 15, 73
3 3, 1, 15, 73
1, 1, 5, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 5 x 73 = 35040

Least Common Multiple of 96,32,30,73 with GCF Formula

Least Common Multiple of 96,32,30,73 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 96,32,30,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,32,30,73) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(96,32,30,73) x common factors =1 x 192 = 192

LCM(96,32,30,73) = ( 96 × 32 × 30 × 73 ) / 192

LCM(96,32,30,73) = 6727680 / 192

LCM(96,32,30,73) = 35040


Lets's calculate GCF of 45,91,47,912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35040/1

Therefore the LCM of Fractions 96/45,32/91,30/47,73/912 is 35040

Greatest Common Factor of 45,91,47,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,91,47,912 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 47

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

1,47

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 45,91,47,912 . The biggest common factor number is the GCF number.
So the greatest common factor 45,91,47,912 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 96/45, 32/91, 30/47, 73/912

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 96/45, 32/91, 30/47, 73/912?

Answer: LCM of Numerators as per given numbers 96/45, 32/91, 30/47, 73/912 is

LCM of Numerators i.e. for 96,32,30,73 is 35040

GCF of denominators i.e. for 45,91,47,912 is 1.

Thus, LCM of Fractions is 35040.Finally, LCM of Fractions for 96/45, 32/91, 30/47, 73/912 is 35040.