Least Common Multiple of 23/810, 994/396, 836/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/810, 994/396, 836/225 quickly i.e. 9556316/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/810, 994/396, 836/225 is 9556316/9.

LCM(23/810, 994/396, 836/225) = 9556316/9

LCM of 23/810, 994/396, 836/225

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 23/810,994/396,836/225

Given numbers are 23/810,994/396,836/225

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 23,994,836

Least Common Multiple of Numerators i.e. LCM of 23,994,836 is 9556316.

GCF of Denominators means GCF of 810,396,225 as per the given fractions.

GCF of 810,396,225 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,994,836

LCM of Fractions 23/810,994/396,836/225 is 9556316/9

2 23, 994, 836
23, 497, 418

∴ So the LCM of the given numbers is 2 x 23 x 497 x 418 = 9556316

Least Common Multiple of 23,994,836 with GCF Formula

Least Common Multiple of 23,994,836 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 23,994,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,994,836) = 1

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

GCF(23,994,836) x common factors =1 x 2 = 2

LCM(23,994,836) = ( 23 × 994 × 836 ) / 2

LCM(23,994,836) = 19112632 / 2

LCM(23,994,836) = 9556316


Lets's calculate GCF of 810,396,225

3 810, 396, 225
3 270, 132, 75
90, 44, 25

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9556316/9

Therefore the LCM of Fractions 23/810,994/396,836/225 is 9556316/9

Greatest Common Factor of 810,396,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,396,225 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 810,396,225 . The biggest common factor number is the GCF number.
So the greatest common factor 810,396,225 is 9.


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 23/810, 994/396, 836/225

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 23/810, 994/396, 836/225?

Answer: LCM of Numerators as per given numbers 23/810, 994/396, 836/225 is

LCM of Numerators i.e. for 23,994,836 is 9556316

GCF of denominators i.e. for 810,396,225 is 9.

Thus, LCM of Fractions is 9556316/9.Finally, LCM of Fractions for 23/810, 994/396, 836/225 is 9556316/9.