Least Common Multiple of 26/59, 57/11, 87/17, 15/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/59, 57/11, 87/17, 15/340 quickly i.e. 214890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/59, 57/11, 87/17, 15/340 is 214890.

LCM(26/59, 57/11, 87/17, 15/340) = 214890

LCM of 26/59, 57/11, 87/17, 15/340

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 26/59,57/11,87/17,15/340

Given numbers are 26/59,57/11,87/17,15/340

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 26,57,87,15

Least Common Multiple of Numerators i.e. LCM of 26,57,87,15 is 214890.

GCF of Denominators means GCF of 59,11,17,340 as per the given fractions.

GCF of 59,11,17,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,57,87,15

LCM of Fractions 26/59,57/11,87/17,15/340 is 214890

3 26, 57, 87, 15
26, 19, 29, 5

∴ So the LCM of the given numbers is 3 x 26 x 19 x 29 x 5 = 214890

Least Common Multiple of 26,57,87,15 with GCF Formula

Least Common Multiple of 26,57,87,15 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 26,57,87,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,57,87,15) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(26,57,87,15) x common factors =1 x 9 = 9

LCM(26,57,87,15) = ( 26 × 57 × 87 × 15 ) / 9

LCM(26,57,87,15) = 1934010 / 9

LCM(26,57,87,15) = 214890


Lets's calculate GCF of 59,11,17,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214890/1

Therefore the LCM of Fractions 26/59,57/11,87/17,15/340 is 214890

Greatest Common Factor of 59,11,17,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,11,17,340 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 59,11,17,340 . The biggest common factor number is the GCF number.
So the greatest common factor 59,11,17,340 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 26/59, 57/11, 87/17, 15/340

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 26/59, 57/11, 87/17, 15/340?

Answer: LCM of Numerators as per given numbers 26/59, 57/11, 87/17, 15/340 is

LCM of Numerators i.e. for 26,57,87,15 is 214890

GCF of denominators i.e. for 59,11,17,340 is 1.

Thus, LCM of Fractions is 214890.Finally, LCM of Fractions for 26/59, 57/11, 87/17, 15/340 is 214890.