Least Common Multiple of 45/96, 72/39, 310/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/96, 72/39, 310/893 quickly i.e. 11160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/96, 72/39, 310/893 is 11160.

LCM(45/96, 72/39, 310/893) = 11160

LCM of 45/96, 72/39, 310/893

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 45/96,72/39,310/893

Given numbers are 45/96,72/39,310/893

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 45,72,310

Least Common Multiple of Numerators i.e. LCM of 45,72,310 is 11160.

GCF of Denominators means GCF of 96,39,893 as per the given fractions.

GCF of 96,39,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,72,310

LCM of Fractions 45/96,72/39,310/893 is 11160

2 45, 72, 310
3 45, 36, 155
3 15, 12, 155
5 5, 4, 155
1, 4, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 4 x 31 = 11160

Least Common Multiple of 45,72,310 with GCF Formula

Least Common Multiple of 45,72,310 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 45,72,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,72,310) = 1

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

GCF(45,72,310) x common factors =1 x 90 = 90

LCM(45,72,310) = ( 45 × 72 × 310 ) / 90

LCM(45,72,310) = 1004400 / 90

LCM(45,72,310) = 11160


Lets's calculate GCF of 96,39,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11160/1

Therefore the LCM of Fractions 45/96,72/39,310/893 is 11160

Greatest Common Factor of 96,39,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,39,893 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 96,39,893 . The biggest common factor number is the GCF number.
So the greatest common factor 96,39,893 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 45/96, 72/39, 310/893

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 45/96, 72/39, 310/893?

Answer: LCM of Numerators as per given numbers 45/96, 72/39, 310/893 is

LCM of Numerators i.e. for 45,72,310 is 11160

GCF of denominators i.e. for 96,39,893 is 1.

Thus, LCM of Fractions is 11160.Finally, LCM of Fractions for 45/96, 72/39, 310/893 is 11160.