Least Common Multiple of 48/45, 59/21, 45/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/45, 59/21, 45/40 quickly i.e. 42480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/45, 59/21, 45/40 is 42480.

LCM(48/45, 59/21, 45/40) = 42480

LCM of 48/45, 59/21, 45/40

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 48/45,59/21,45/40

Given numbers are 48/45,59/21,45/40

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 48,59,45

Least Common Multiple of Numerators i.e. LCM of 48,59,45 is 42480.

GCF of Denominators means GCF of 45,21,40 as per the given fractions.

GCF of 45,21,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,59,45

LCM of Fractions 48/45,59/21,45/40 is 42480

3 48, 59, 45
16, 59, 15

∴ So the LCM of the given numbers is 3 x 16 x 59 x 15 = 42480

Least Common Multiple of 48,59,45 with GCF Formula

Least Common Multiple of 48,59,45 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 48,59,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,59,45) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,59,45) x common factors =1 x 3 = 3

LCM(48,59,45) = ( 48 × 59 × 45 ) / 3

LCM(48,59,45) = 127440 / 3

LCM(48,59,45) = 42480


Lets's calculate GCF of 45,21,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42480/1

Therefore the LCM of Fractions 48/45,59/21,45/40 is 42480

Greatest Common Factor of 45,21,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,21,40 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 45,21,40 . The biggest common factor number is the GCF number.
So the greatest common factor 45,21,40 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 48/45, 59/21, 45/40

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 48/45, 59/21, 45/40?

Answer: LCM of Numerators as per given numbers 48/45, 59/21, 45/40 is

LCM of Numerators i.e. for 48,59,45 is 42480

GCF of denominators i.e. for 45,21,40 is 1.

Thus, LCM of Fractions is 42480.Finally, LCM of Fractions for 48/45, 59/21, 45/40 is 42480.