Least Common Multiple of 3370/800, 3804/2267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3370/800, 3804/2267 quickly i.e. 6409740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3370/800, 3804/2267 is 6409740.

LCM(3370/800, 3804/2267) = 6409740

LCM of 3370/800, 3804/2267

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 3370/800,3804/2267

Given numbers are 3370/800,3804/2267

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 3370,3804

Least Common Multiple of Numerators i.e. LCM of 3370,3804 is 6409740.

GCF of Denominators means GCF of 800,2267 as per the given fractions.

GCF of 800,2267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3370,3804

LCM of Fractions 3370/800,3804/2267 is 6409740

2 3370, 3804
1685, 1902

∴ So the LCM of the given numbers is 2 x 1685 x 1902 = 6409740

Least Common Multiple of 3370,3804 with GCF Formula

Least Common Multiple of 3370,3804 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 3370,3804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3370,3804) = 2

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

GCF(3370,3804) x common factors =2 x 1 = 2

LCM(3370,3804) = ( 3370 × 3804 ) / 2

LCM(3370,3804) = 12819480 / 2

LCM(3370,3804) = 6409740


Lets's calculate GCF of 800,2267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6409740/1

Therefore the LCM of Fractions 3370/800,3804/2267 is 6409740

Greatest Common Factor of 800,2267 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,2267 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 2267

List of positive integer factors of 2267 that divides 2267 without a remainder.

1,2267

Greatest Common Factor

We found the factors 800,2267 . The biggest common factor number is the GCF number.
So the greatest common factor 800,2267 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 3370/800, 3804/2267

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 3370/800, 3804/2267?

Answer: LCM of Numerators as per given numbers 3370/800, 3804/2267 is

LCM of Numerators i.e. for 3370,3804 is 6409740

GCF of denominators i.e. for 800,2267 is 1.

Thus, LCM of Fractions is 6409740.Finally, LCM of Fractions for 3370/800, 3804/2267 is 6409740.