Least Common Multiple of 5311/90, 3812/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5311/90, 3812/466 quickly i.e. 10122766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5311/90, 3812/466 is 10122766.

LCM(5311/90, 3812/466) = 10122766

LCM of 5311/90, 3812/466

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 5311/90,3812/466

Given numbers are 5311/90,3812/466

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 5311,3812

Least Common Multiple of Numerators i.e. LCM of 5311,3812 is 20245532.

GCF of Denominators means GCF of 90,466 as per the given fractions.

GCF of 90,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5311,3812

LCM of Fractions 5311/90,3812/466 is 10122766

Given numbers has no common factors except 1. So, there LCM is their product i.e 20245532

Least Common Multiple of 5311,3812 with GCF Formula

Least Common Multiple of 5311,3812 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 5311,3812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5311,3812) = 1

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

GCF(5311,3812) x common factors =1 x 1 = 1

LCM(5311,3812) = ( 5311 × 3812 ) / 1

LCM(5311,3812) = 20245532 / 1

LCM(5311,3812) = 20245532


Lets's calculate GCF of 90,466

2 90, 466
45, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20245532/2

Therefore the LCM of Fractions 5311/90,3812/466 is 10122766

Greatest Common Factor of 90,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,466 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 90,466 . The biggest common factor number is the GCF number.
So the greatest common factor 90,466 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 5311/90, 3812/466

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 5311/90, 3812/466?

Answer: LCM of Numerators as per given numbers 5311/90, 3812/466 is

LCM of Numerators i.e. for 5311,3812 is 20245532

GCF of denominators i.e. for 90,466 is 2.

Thus, LCM of Fractions is 10122766.Finally, LCM of Fractions for 5311/90, 3812/466 is 10122766.