Least Common Multiple of 20/60, 60/12, 57/10, 45/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/60, 60/12, 57/10, 45/399 quickly i.e. 3420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/60, 60/12, 57/10, 45/399 is 3420.

LCM(20/60, 60/12, 57/10, 45/399) = 3420

LCM of 20/60, 60/12, 57/10, 45/399

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 20/60,60/12,57/10,45/399

Given numbers are 20/60,60/12,57/10,45/399

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 20,60,57,45

Least Common Multiple of Numerators i.e. LCM of 20,60,57,45 is 3420.

GCF of Denominators means GCF of 60,12,10,399 as per the given fractions.

GCF of 60,12,10,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,60,57,45

LCM of Fractions 20/60,60/12,57/10,45/399 is 3420

2 20, 60, 57, 45
2 10, 30, 57, 45
3 5, 15, 57, 45
5 5, 5, 19, 15
1, 1, 19, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 19 x 3 = 3420

Least Common Multiple of 20,60,57,45 with GCF Formula

Least Common Multiple of 20,60,57,45 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 20,60,57,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,60,57,45) = 1

common factors(in case of two or more numbers have common factors) = 900

GCF(20,60,57,45) x common factors =1 x 900 = 900

LCM(20,60,57,45) = ( 20 × 60 × 57 × 45 ) / 900

LCM(20,60,57,45) = 3078000 / 900

LCM(20,60,57,45) = 3420


Lets's calculate GCF of 60,12,10,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3420/1

Therefore the LCM of Fractions 20/60,60/12,57/10,45/399 is 3420

Greatest Common Factor of 60,12,10,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,12,10,399 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 12

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

1,2,3,4,6,12

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 60,12,10,399 . The biggest common factor number is the GCF number.
So the greatest common factor 60,12,10,399 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 20/60, 60/12, 57/10, 45/399

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 20/60, 60/12, 57/10, 45/399?

Answer: LCM of Numerators as per given numbers 20/60, 60/12, 57/10, 45/399 is

LCM of Numerators i.e. for 20,60,57,45 is 3420

GCF of denominators i.e. for 60,12,10,399 is 1.

Thus, LCM of Fractions is 3420.Finally, LCM of Fractions for 20/60, 60/12, 57/10, 45/399 is 3420.