Least Common Multiple of 59/19, 91/34, 20/15, 28/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/19, 91/34, 20/15, 28/787 quickly i.e. 107380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/19, 91/34, 20/15, 28/787 is 107380.

LCM(59/19, 91/34, 20/15, 28/787) = 107380

LCM of 59/19, 91/34, 20/15, 28/787

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 59/19,91/34,20/15,28/787

Given numbers are 59/19,91/34,20/15,28/787

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 59,91,20,28

Least Common Multiple of Numerators i.e. LCM of 59,91,20,28 is 107380.

GCF of Denominators means GCF of 19,34,15,787 as per the given fractions.

GCF of 19,34,15,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,91,20,28

LCM of Fractions 59/19,91/34,20/15,28/787 is 107380

2 59, 91, 20, 28
2 59, 91, 10, 14
7 59, 91, 5, 7
59, 13, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 59 x 13 x 5 x 1 = 107380

Least Common Multiple of 59,91,20,28 with GCF Formula

Least Common Multiple of 59,91,20,28 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 59,91,20,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,91,20,28) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(59,91,20,28) x common factors =1 x 28 = 28

LCM(59,91,20,28) = ( 59 × 91 × 20 × 28 ) / 28

LCM(59,91,20,28) = 3006640 / 28

LCM(59,91,20,28) = 107380


Lets's calculate GCF of 19,34,15,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107380/1

Therefore the LCM of Fractions 59/19,91/34,20/15,28/787 is 107380

Greatest Common Factor of 19,34,15,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,34,15,787 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 19,34,15,787 . The biggest common factor number is the GCF number.
So the greatest common factor 19,34,15,787 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 59/19, 91/34, 20/15, 28/787

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 59/19, 91/34, 20/15, 28/787?

Answer: LCM of Numerators as per given numbers 59/19, 91/34, 20/15, 28/787 is

LCM of Numerators i.e. for 59,91,20,28 is 107380

GCF of denominators i.e. for 19,34,15,787 is 1.

Thus, LCM of Fractions is 107380.Finally, LCM of Fractions for 59/19, 91/34, 20/15, 28/787 is 107380.