Least Common Multiple of 65/822, 898/51, 559/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/822, 898/51, 559/183 quickly i.e. 2509910/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/822, 898/51, 559/183 is 2509910/3.

LCM(65/822, 898/51, 559/183) = 2509910/3

LCM of 65/822, 898/51, 559/183

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 65/822,898/51,559/183

Given numbers are 65/822,898/51,559/183

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 65,898,559

Least Common Multiple of Numerators i.e. LCM of 65,898,559 is 2509910.

GCF of Denominators means GCF of 822,51,183 as per the given fractions.

GCF of 822,51,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,898,559

LCM of Fractions 65/822,898/51,559/183 is 2509910/3

13 65, 898, 559
5, 898, 43

∴ So the LCM of the given numbers is 13 x 5 x 898 x 43 = 2509910

Least Common Multiple of 65,898,559 with GCF Formula

Least Common Multiple of 65,898,559 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 65,898,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,898,559) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,898,559) x common factors =1 x 13 = 13

LCM(65,898,559) = ( 65 × 898 × 559 ) / 13

LCM(65,898,559) = 32628830 / 13

LCM(65,898,559) = 2509910


Lets's calculate GCF of 822,51,183

3 822, 51, 183
274, 17, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2509910/3

Therefore the LCM of Fractions 65/822,898/51,559/183 is 2509910/3

Greatest Common Factor of 822,51,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,51,183 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 822,51,183 . The biggest common factor number is the GCF number.
So the greatest common factor 822,51,183 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 65/822, 898/51, 559/183

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 65/822, 898/51, 559/183?

Answer: LCM of Numerators as per given numbers 65/822, 898/51, 559/183 is

LCM of Numerators i.e. for 65,898,559 is 2509910

GCF of denominators i.e. for 822,51,183 is 3.

Thus, LCM of Fractions is 2509910/3.Finally, LCM of Fractions for 65/822, 898/51, 559/183 is 2509910/3.