Least Common Multiple of 13/90, 30/46, 57/28, 80/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/90, 30/46, 57/28, 80/419 quickly i.e. 59280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/90, 30/46, 57/28, 80/419 is 59280.

LCM(13/90, 30/46, 57/28, 80/419) = 59280

LCM of 13/90, 30/46, 57/28, 80/419

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 13/90,30/46,57/28,80/419

Given numbers are 13/90,30/46,57/28,80/419

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 13,30,57,80

Least Common Multiple of Numerators i.e. LCM of 13,30,57,80 is 59280.

GCF of Denominators means GCF of 90,46,28,419 as per the given fractions.

GCF of 90,46,28,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,30,57,80

LCM of Fractions 13/90,30/46,57/28,80/419 is 59280

2 13, 30, 57, 80
3 13, 15, 57, 40
5 13, 5, 19, 40
13, 1, 19, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 19 x 8 = 59280

Least Common Multiple of 13,30,57,80 with GCF Formula

Least Common Multiple of 13,30,57,80 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 13,30,57,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,30,57,80) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(13,30,57,80) x common factors =1 x 30 = 30

LCM(13,30,57,80) = ( 13 × 30 × 57 × 80 ) / 30

LCM(13,30,57,80) = 1778400 / 30

LCM(13,30,57,80) = 59280


Lets's calculate GCF of 90,46,28,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59280/1

Therefore the LCM of Fractions 13/90,30/46,57/28,80/419 is 59280

Greatest Common Factor of 90,46,28,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,46,28,419 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 90,46,28,419 . The biggest common factor number is the GCF number.
So the greatest common factor 90,46,28,419 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 13/90, 30/46, 57/28, 80/419

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 13/90, 30/46, 57/28, 80/419?

Answer: LCM of Numerators as per given numbers 13/90, 30/46, 57/28, 80/419 is

LCM of Numerators i.e. for 13,30,57,80 is 59280

GCF of denominators i.e. for 90,46,28,419 is 1.

Thus, LCM of Fractions is 59280.Finally, LCM of Fractions for 13/90, 30/46, 57/28, 80/419 is 59280.