Least Common Multiple of 32/324, 694/810, 288/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/324, 694/810, 288/200 quickly i.e. 49968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/324, 694/810, 288/200 is 49968.

LCM(32/324, 694/810, 288/200) = 49968

LCM of 32/324, 694/810, 288/200

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 32/324,694/810,288/200

Given numbers are 32/324,694/810,288/200

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 32,694,288

Least Common Multiple of Numerators i.e. LCM of 32,694,288 is 99936.

GCF of Denominators means GCF of 324,810,200 as per the given fractions.

GCF of 324,810,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,694,288

LCM of Fractions 32/324,694/810,288/200 is 49968

2 32, 694, 288
2 16, 347, 144
2 8, 347, 72
2 4, 347, 36
2 2, 347, 18
1, 347, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 347 x 9 = 99936

Least Common Multiple of 32,694,288 with GCF Formula

Least Common Multiple of 32,694,288 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 32,694,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,694,288) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(32,694,288) x common factors =2 x 32 = 64

LCM(32,694,288) = ( 32 × 694 × 288 ) / 64

LCM(32,694,288) = 6395904 / 64

LCM(32,694,288) = 99936


Lets's calculate GCF of 324,810,200

2 324, 810, 200
162, 405, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99936/2

Therefore the LCM of Fractions 32/324,694/810,288/200 is 49968

Greatest Common Factor of 324,810,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,810,200 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

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 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 324,810,200 . The biggest common factor number is the GCF number.
So the greatest common factor 324,810,200 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 32/324, 694/810, 288/200

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 32/324, 694/810, 288/200?

Answer: LCM of Numerators as per given numbers 32/324, 694/810, 288/200 is

LCM of Numerators i.e. for 32,694,288 is 99936

GCF of denominators i.e. for 324,810,200 is 2.

Thus, LCM of Fractions is 49968.Finally, LCM of Fractions for 32/324, 694/810, 288/200 is 49968.