Least Common Multiple of 3213/888, 1597/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3213/888, 1597/864 quickly i.e. 5131161/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3213/888, 1597/864 is 5131161/24.

LCM(3213/888, 1597/864) = 5131161/24

LCM of 3213/888, 1597/864

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 3213/888,1597/864

Given numbers are 3213/888,1597/864

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 3213,1597

Least Common Multiple of Numerators i.e. LCM of 3213,1597 is 5131161.

GCF of Denominators means GCF of 888,864 as per the given fractions.

GCF of 888,864 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3213,1597

LCM of Fractions 3213/888,1597/864 is 5131161/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 5131161

Least Common Multiple of 3213,1597 with GCF Formula

Least Common Multiple of 3213,1597 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 3213,1597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3213,1597) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3213,1597) x common factors =1 x 1 = 1

LCM(3213,1597) = ( 3213 × 1597 ) / 1

LCM(3213,1597) = 5131161 / 1

LCM(3213,1597) = 5131161


Lets's calculate GCF of 888,864

2 888, 864
2 444, 432
2 222, 216
3 111, 108
37, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5131161/24

Therefore the LCM of Fractions 3213/888,1597/864 is 5131161/24

Greatest Common Factor of 888,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,864 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 888,864 . The biggest common factor number is the GCF number.
So the greatest common factor 888,864 is 24.


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 3213/888, 1597/864

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 3213/888, 1597/864?

Answer: LCM of Numerators as per given numbers 3213/888, 1597/864 is

LCM of Numerators i.e. for 3213,1597 is 5131161

GCF of denominators i.e. for 888,864 is 24.

Thus, LCM of Fractions is 5131161/24.Finally, LCM of Fractions for 3213/888, 1597/864 is 5131161/24.