Least Common Multiple of 11/90, 491/58, 478/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/90, 491/58, 478/368 quickly i.e. 1290839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/90, 491/58, 478/368 is 1290839.

LCM(11/90, 491/58, 478/368) = 1290839

LCM of 11/90, 491/58, 478/368

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 11/90,491/58,478/368

Given numbers are 11/90,491/58,478/368

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 11,491,478

Least Common Multiple of Numerators i.e. LCM of 11,491,478 is 2581678.

GCF of Denominators means GCF of 90,58,368 as per the given fractions.

GCF of 90,58,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,491,478

LCM of Fractions 11/90,491/58,478/368 is 1290839

Given numbers has no common factors except 1. So, there LCM is their product i.e 2581678

Least Common Multiple of 11,491,478 with GCF Formula

Least Common Multiple of 11,491,478 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 11,491,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,491,478) = 1

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

GCF(11,491,478) x common factors =1 x 1 = 1

LCM(11,491,478) = ( 11 × 491 × 478 ) / 1

LCM(11,491,478) = 2581678 / 1

LCM(11,491,478) = 2581678


Lets's calculate GCF of 90,58,368

2 90, 58, 368
45, 29, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2581678/2

Therefore the LCM of Fractions 11/90,491/58,478/368 is 1290839

Greatest Common Factor of 90,58,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,58,368 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 90,58,368 . The biggest common factor number is the GCF number.
So the greatest common factor 90,58,368 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 11/90, 491/58, 478/368

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 11/90, 491/58, 478/368?

Answer: LCM of Numerators as per given numbers 11/90, 491/58, 478/368 is

LCM of Numerators i.e. for 11,491,478 is 2581678

GCF of denominators i.e. for 90,58,368 is 2.

Thus, LCM of Fractions is 1290839.Finally, LCM of Fractions for 11/90, 491/58, 478/368 is 1290839.