Least Common Multiple of 89/800, 91/814, 892/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/800, 91/814, 892/326 quickly i.e. 3612154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/800, 91/814, 892/326 is 3612154.

LCM(89/800, 91/814, 892/326) = 3612154

LCM of 89/800, 91/814, 892/326

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 89/800,91/814,892/326

Given numbers are 89/800,91/814,892/326

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 89,91,892

Least Common Multiple of Numerators i.e. LCM of 89,91,892 is 7224308.

GCF of Denominators means GCF of 800,814,326 as per the given fractions.

GCF of 800,814,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,91,892

LCM of Fractions 89/800,91/814,892/326 is 3612154

Given numbers has no common factors except 1. So, there LCM is their product i.e 7224308

Least Common Multiple of 89,91,892 with GCF Formula

Least Common Multiple of 89,91,892 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 89,91,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,91,892) = 1

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

GCF(89,91,892) x common factors =1 x 1 = 1

LCM(89,91,892) = ( 89 × 91 × 892 ) / 1

LCM(89,91,892) = 7224308 / 1

LCM(89,91,892) = 7224308


Lets's calculate GCF of 800,814,326

2 800, 814, 326
400, 407, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7224308/2

Therefore the LCM of Fractions 89/800,91/814,892/326 is 3612154

Greatest Common Factor of 800,814,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,814,326 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 800,814,326 . The biggest common factor number is the GCF number.
So the greatest common factor 800,814,326 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 89/800, 91/814, 892/326

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 89/800, 91/814, 892/326?

Answer: LCM of Numerators as per given numbers 89/800, 91/814, 892/326 is

LCM of Numerators i.e. for 89,91,892 is 7224308

GCF of denominators i.e. for 800,814,326 is 2.

Thus, LCM of Fractions is 3612154.Finally, LCM of Fractions for 89/800, 91/814, 892/326 is 3612154.