Least Common Multiple of 110/396, 1466/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/396, 1466/814 quickly i.e. 3665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/396, 1466/814 is 3665.

LCM(110/396, 1466/814) = 3665

LCM of 110/396, 1466/814

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 110/396,1466/814

Given numbers are 110/396,1466/814

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 110,1466

Least Common Multiple of Numerators i.e. LCM of 110,1466 is 80630.

GCF of Denominators means GCF of 396,814 as per the given fractions.

GCF of 396,814 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,1466

LCM of Fractions 110/396,1466/814 is 3665

2 110, 1466
55, 733

∴ So the LCM of the given numbers is 2 x 55 x 733 = 80630

Least Common Multiple of 110,1466 with GCF Formula

Least Common Multiple of 110,1466 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 110,1466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,1466) = 2

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

GCF(110,1466) x common factors =2 x 1 = 2

LCM(110,1466) = ( 110 × 1466 ) / 2

LCM(110,1466) = 161260 / 2

LCM(110,1466) = 80630


Lets's calculate GCF of 396,814

2 396, 814
11 198, 407
18, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80630/22

Therefore the LCM of Fractions 110/396,1466/814 is 3665

Greatest Common Factor of 396,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,814 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 814

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

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

Greatest Common Factor

We found the factors 396,814 . The biggest common factor number is the GCF number.
So the greatest common factor 396,814 is 22.


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 110/396, 1466/814

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 110/396, 1466/814?

Answer: LCM of Numerators as per given numbers 110/396, 1466/814 is

LCM of Numerators i.e. for 110,1466 is 80630

GCF of denominators i.e. for 396,814 is 22.

Thus, LCM of Fractions is 3665.Finally, LCM of Fractions for 110/396, 1466/814 is 3665.