Least Common Multiple of 65/36, 55/45, 817/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/36, 55/45, 817/98 quickly i.e. 584155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/36, 55/45, 817/98 is 584155.

LCM(65/36, 55/45, 817/98) = 584155

LCM of 65/36, 55/45, 817/98

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 65/36,55/45,817/98

Given numbers are 65/36,55/45,817/98

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 65,55,817

Least Common Multiple of Numerators i.e. LCM of 65,55,817 is 584155.

GCF of Denominators means GCF of 36,45,98 as per the given fractions.

GCF of 36,45,98 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,55,817

LCM of Fractions 65/36,55/45,817/98 is 584155

5 65, 55, 817
13, 11, 817

∴ So the LCM of the given numbers is 5 x 13 x 11 x 817 = 584155

Least Common Multiple of 65,55,817 with GCF Formula

Least Common Multiple of 65,55,817 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 65,55,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,55,817) = 1

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

GCF(65,55,817) x common factors =1 x 5 = 5

LCM(65,55,817) = ( 65 × 55 × 817 ) / 5

LCM(65,55,817) = 2920775 / 5

LCM(65,55,817) = 584155


Lets's calculate GCF of 36,45,98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 584155/1

Therefore the LCM of Fractions 65/36,55/45,817/98 is 584155

Greatest Common Factor of 36,45,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,45,98 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 36,45,98 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,98 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 65/36, 55/45, 817/98

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 65/36, 55/45, 817/98?

Answer: LCM of Numerators as per given numbers 65/36, 55/45, 817/98 is

LCM of Numerators i.e. for 65,55,817 is 584155

GCF of denominators i.e. for 36,45,98 is 1.

Thus, LCM of Fractions is 584155.Finally, LCM of Fractions for 65/36, 55/45, 817/98 is 584155.