Least Common Multiple of 7398/866, 3808/2280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7398/866, 3808/2280 quickly i.e. 7042896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7398/866, 3808/2280 is 7042896.

LCM(7398/866, 3808/2280) = 7042896

LCM of 7398/866, 3808/2280

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 7398/866,3808/2280

Given numbers are 7398/866,3808/2280

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 7398,3808

Least Common Multiple of Numerators i.e. LCM of 7398,3808 is 14085792.

GCF of Denominators means GCF of 866,2280 as per the given fractions.

GCF of 866,2280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7398,3808

LCM of Fractions 7398/866,3808/2280 is 7042896

2 7398, 3808
3699, 1904

∴ So the LCM of the given numbers is 2 x 3699 x 1904 = 14085792

Least Common Multiple of 7398,3808 with GCF Formula

Least Common Multiple of 7398,3808 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 7398,3808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7398,3808) = 2

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

GCF(7398,3808) x common factors =2 x 1 = 2

LCM(7398,3808) = ( 7398 × 3808 ) / 2

LCM(7398,3808) = 28171584 / 2

LCM(7398,3808) = 14085792


Lets's calculate GCF of 866,2280

2 866, 2280
433, 1140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14085792/2

Therefore the LCM of Fractions 7398/866,3808/2280 is 7042896

Greatest Common Factor of 866,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,2280 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 866,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 866,2280 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 7398/866, 3808/2280

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 7398/866, 3808/2280?

Answer: LCM of Numerators as per given numbers 7398/866, 3808/2280 is

LCM of Numerators i.e. for 7398,3808 is 14085792

GCF of denominators i.e. for 866,2280 is 2.

Thus, LCM of Fractions is 7042896.Finally, LCM of Fractions for 7398/866, 3808/2280 is 7042896.