Least Common Multiple of 800/18, 885/88, 210/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/18, 885/88, 210/221 quickly i.e. 991200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/18, 885/88, 210/221 is 991200.

LCM(800/18, 885/88, 210/221) = 991200

LCM of 800/18, 885/88, 210/221

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 800/18,885/88,210/221

Given numbers are 800/18,885/88,210/221

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 800,885,210

Least Common Multiple of Numerators i.e. LCM of 800,885,210 is 991200.

GCF of Denominators means GCF of 18,88,221 as per the given fractions.

GCF of 18,88,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,885,210

LCM of Fractions 800/18,885/88,210/221 is 991200

2 800, 885, 210
3 400, 885, 105
5 400, 295, 35
80, 59, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 80 x 59 x 7 = 991200

Least Common Multiple of 800,885,210 with GCF Formula

Least Common Multiple of 800,885,210 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 800,885,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,885,210) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(800,885,210) x common factors =5 x 30 = 150

LCM(800,885,210) = ( 800 × 885 × 210 ) / 150

LCM(800,885,210) = 148680000 / 150

LCM(800,885,210) = 991200


Lets's calculate GCF of 18,88,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991200/1

Therefore the LCM of Fractions 800/18,885/88,210/221 is 991200

Greatest Common Factor of 18,88,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,88,221 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 18,88,221 . The biggest common factor number is the GCF number.
So the greatest common factor 18,88,221 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 800/18, 885/88, 210/221

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 800/18, 885/88, 210/221?

Answer: LCM of Numerators as per given numbers 800/18, 885/88, 210/221 is

LCM of Numerators i.e. for 800,885,210 is 991200

GCF of denominators i.e. for 18,88,221 is 1.

Thus, LCM of Fractions is 991200.Finally, LCM of Fractions for 800/18, 885/88, 210/221 is 991200.