Least Common Multiple of 65/56, 35/29, 235/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/56, 35/29, 235/219 quickly i.e. 21385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/56, 35/29, 235/219 is 21385.

LCM(65/56, 35/29, 235/219) = 21385

LCM of 65/56, 35/29, 235/219

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 65/56,35/29,235/219

Given numbers are 65/56,35/29,235/219

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 65,35,235

Least Common Multiple of Numerators i.e. LCM of 65,35,235 is 21385.

GCF of Denominators means GCF of 56,29,219 as per the given fractions.

GCF of 56,29,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,35,235

LCM of Fractions 65/56,35/29,235/219 is 21385

5 65, 35, 235
13, 7, 47

∴ So the LCM of the given numbers is 5 x 13 x 7 x 47 = 21385

Least Common Multiple of 65,35,235 with GCF Formula

Least Common Multiple of 65,35,235 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 65,35,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,35,235) = 5

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

GCF(65,35,235) x common factors =5 x 5 = 25

LCM(65,35,235) = ( 65 × 35 × 235 ) / 25

LCM(65,35,235) = 534625 / 25

LCM(65,35,235) = 21385


Lets's calculate GCF of 56,29,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21385/1

Therefore the LCM of Fractions 65/56,35/29,235/219 is 21385

Greatest Common Factor of 56,29,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,29,219 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 56,29,219 . The biggest common factor number is the GCF number.
So the greatest common factor 56,29,219 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 65/56, 35/29, 235/219

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 65/56, 35/29, 235/219?

Answer: LCM of Numerators as per given numbers 65/56, 35/29, 235/219 is

LCM of Numerators i.e. for 65,35,235 is 21385

GCF of denominators i.e. for 56,29,219 is 1.

Thus, LCM of Fractions is 21385.Finally, LCM of Fractions for 65/56, 35/29, 235/219 is 21385.