Least Common Multiple of 45/42, 48/12, 20/87, 87/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/42, 48/12, 20/87, 87/505 quickly i.e. 20880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/42, 48/12, 20/87, 87/505 is 20880.

LCM(45/42, 48/12, 20/87, 87/505) = 20880

LCM of 45/42, 48/12, 20/87, 87/505

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 45/42,48/12,20/87,87/505

Given numbers are 45/42,48/12,20/87,87/505

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 45,48,20,87

Least Common Multiple of Numerators i.e. LCM of 45,48,20,87 is 20880.

GCF of Denominators means GCF of 42,12,87,505 as per the given fractions.

GCF of 42,12,87,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,48,20,87

LCM of Fractions 45/42,48/12,20/87,87/505 is 20880

2 45, 48, 20, 87
2 45, 24, 10, 87
3 45, 12, 5, 87
5 15, 4, 5, 29
3, 4, 1, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 4 x 1 x 29 = 20880

Least Common Multiple of 45,48,20,87 with GCF Formula

Least Common Multiple of 45,48,20,87 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 45,48,20,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,48,20,87) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(45,48,20,87) x common factors =1 x 180 = 180

LCM(45,48,20,87) = ( 45 × 48 × 20 × 87 ) / 180

LCM(45,48,20,87) = 3758400 / 180

LCM(45,48,20,87) = 20880


Lets's calculate GCF of 42,12,87,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20880/1

Therefore the LCM of Fractions 45/42,48/12,20/87,87/505 is 20880

Greatest Common Factor of 42,12,87,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,12,87,505 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 42,12,87,505 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,87,505 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 45/42, 48/12, 20/87, 87/505

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 45/42, 48/12, 20/87, 87/505?

Answer: LCM of Numerators as per given numbers 45/42, 48/12, 20/87, 87/505 is

LCM of Numerators i.e. for 45,48,20,87 is 20880

GCF of denominators i.e. for 42,12,87,505 is 1.

Thus, LCM of Fractions is 20880.Finally, LCM of Fractions for 45/42, 48/12, 20/87, 87/505 is 20880.