Least Common Multiple of 65/219, 650/255, 732/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/219, 650/255, 732/273 quickly i.e. 79300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/219, 650/255, 732/273 is 79300.

LCM(65/219, 650/255, 732/273) = 79300

LCM of 65/219, 650/255, 732/273

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 65/219,650/255,732/273

Given numbers are 65/219,650/255,732/273

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 65,650,732

Least Common Multiple of Numerators i.e. LCM of 65,650,732 is 237900.

GCF of Denominators means GCF of 219,255,273 as per the given fractions.

GCF of 219,255,273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,650,732

LCM of Fractions 65/219,650/255,732/273 is 79300

2 65, 650, 732
5 65, 325, 366
13 13, 65, 366
1, 5, 366

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 5 x 366 = 237900

Least Common Multiple of 65,650,732 with GCF Formula

Least Common Multiple of 65,650,732 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 65,650,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,650,732) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,650,732) x common factors =1 x 130 = 130

LCM(65,650,732) = ( 65 × 650 × 732 ) / 130

LCM(65,650,732) = 30927000 / 130

LCM(65,650,732) = 237900


Lets's calculate GCF of 219,255,273

3 219, 255, 273
73, 85, 91

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237900/3

Therefore the LCM of Fractions 65/219,650/255,732/273 is 79300

Greatest Common Factor of 219,255,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,255,273 By Matching Biggest Common Factor Method

Factors of 219

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

1,3,73,219

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 219,255,273 . The biggest common factor number is the GCF number.
So the greatest common factor 219,255,273 is 3.


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 65/219, 650/255, 732/273

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 65/219, 650/255, 732/273?

Answer: LCM of Numerators as per given numbers 65/219, 650/255, 732/273 is

LCM of Numerators i.e. for 65,650,732 is 237900

GCF of denominators i.e. for 219,255,273 is 3.

Thus, LCM of Fractions is 79300.Finally, LCM of Fractions for 65/219, 650/255, 732/273 is 79300.