Least Common Multiple of 65/732, 22/550, 798/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/732, 22/550, 798/598 quickly i.e. 285285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/732, 22/550, 798/598 is 285285.

LCM(65/732, 22/550, 798/598) = 285285

LCM of 65/732, 22/550, 798/598

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 65/732,22/550,798/598

Given numbers are 65/732,22/550,798/598

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 65,22,798

Least Common Multiple of Numerators i.e. LCM of 65,22,798 is 570570.

GCF of Denominators means GCF of 732,550,598 as per the given fractions.

GCF of 732,550,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,22,798

LCM of Fractions 65/732,22/550,798/598 is 285285

2 65, 22, 798
65, 11, 399

∴ So the LCM of the given numbers is 2 x 65 x 11 x 399 = 570570

Least Common Multiple of 65,22,798 with GCF Formula

Least Common Multiple of 65,22,798 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 65,22,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,22,798) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,22,798) x common factors =1 x 2 = 2

LCM(65,22,798) = ( 65 × 22 × 798 ) / 2

LCM(65,22,798) = 1141140 / 2

LCM(65,22,798) = 570570


Lets's calculate GCF of 732,550,598

2 732, 550, 598
366, 275, 299

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570570/2

Therefore the LCM of Fractions 65/732,22/550,798/598 is 285285

Greatest Common Factor of 732,550,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,550,598 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 732,550,598 . The biggest common factor number is the GCF number.
So the greatest common factor 732,550,598 is 2.


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 65/732, 22/550, 798/598

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 65/732, 22/550, 798/598?

Answer: LCM of Numerators as per given numbers 65/732, 22/550, 798/598 is

LCM of Numerators i.e. for 65,22,798 is 570570

GCF of denominators i.e. for 732,550,598 is 2.

Thus, LCM of Fractions is 285285.Finally, LCM of Fractions for 65/732, 22/550, 798/598 is 285285.