Least Common Multiple of 11/33, 90/45, 924/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/33, 90/45, 924/498 quickly i.e. 4620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/33, 90/45, 924/498 is 4620.

LCM(11/33, 90/45, 924/498) = 4620

LCM of 11/33, 90/45, 924/498

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 11/33,90/45,924/498

Given numbers are 11/33,90/45,924/498

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 11,90,924

Least Common Multiple of Numerators i.e. LCM of 11,90,924 is 13860.

GCF of Denominators means GCF of 33,45,498 as per the given fractions.

GCF of 33,45,498 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,90,924

LCM of Fractions 11/33,90/45,924/498 is 4620

2 11, 90, 924
3 11, 45, 462
11 11, 15, 154
1, 15, 14

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 15 x 14 = 13860

Least Common Multiple of 11,90,924 with GCF Formula

Least Common Multiple of 11,90,924 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 11,90,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,90,924) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(11,90,924) x common factors =1 x 66 = 66

LCM(11,90,924) = ( 11 × 90 × 924 ) / 66

LCM(11,90,924) = 914760 / 66

LCM(11,90,924) = 13860


Lets's calculate GCF of 33,45,498

3 33, 45, 498
11, 15, 166

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/3

Therefore the LCM of Fractions 11/33,90/45,924/498 is 4620

Greatest Common Factor of 33,45,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,45,498 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 33,45,498 . The biggest common factor number is the GCF number.
So the greatest common factor 33,45,498 is 3.


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 11/33, 90/45, 924/498

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 11/33, 90/45, 924/498?

Answer: LCM of Numerators as per given numbers 11/33, 90/45, 924/498 is

LCM of Numerators i.e. for 11,90,924 is 13860

GCF of denominators i.e. for 33,45,498 is 3.

Thus, LCM of Fractions is 4620.Finally, LCM of Fractions for 11/33, 90/45, 924/498 is 4620.