Least Common Multiple of 65/49, 20/11, 587/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/49, 20/11, 587/135 quickly i.e. 152620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/49, 20/11, 587/135 is 152620.

LCM(65/49, 20/11, 587/135) = 152620

LCM of 65/49, 20/11, 587/135

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 65/49,20/11,587/135

Given numbers are 65/49,20/11,587/135

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 65,20,587

Least Common Multiple of Numerators i.e. LCM of 65,20,587 is 152620.

GCF of Denominators means GCF of 49,11,135 as per the given fractions.

GCF of 49,11,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,20,587

LCM of Fractions 65/49,20/11,587/135 is 152620

5 65, 20, 587
13, 4, 587

∴ So the LCM of the given numbers is 5 x 13 x 4 x 587 = 152620

Least Common Multiple of 65,20,587 with GCF Formula

Least Common Multiple of 65,20,587 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 65,20,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,20,587) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,20,587) x common factors =1 x 5 = 5

LCM(65,20,587) = ( 65 × 20 × 587 ) / 5

LCM(65,20,587) = 763100 / 5

LCM(65,20,587) = 152620


Lets's calculate GCF of 49,11,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152620/1

Therefore the LCM of Fractions 65/49,20/11,587/135 is 152620

Greatest Common Factor of 49,11,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,11,135 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 11

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

1,11

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 49,11,135 . The biggest common factor number is the GCF number.
So the greatest common factor 49,11,135 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 65/49, 20/11, 587/135

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 65/49, 20/11, 587/135?

Answer: LCM of Numerators as per given numbers 65/49, 20/11, 587/135 is

LCM of Numerators i.e. for 65,20,587 is 152620

GCF of denominators i.e. for 49,11,135 is 1.

Thus, LCM of Fractions is 152620.Finally, LCM of Fractions for 65/49, 20/11, 587/135 is 152620.