Least Common Multiple of 59/990, 290/933, 823/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/990, 290/933, 823/222 quickly i.e. 14081530/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/990, 290/933, 823/222 is 14081530/3.

LCM(59/990, 290/933, 823/222) = 14081530/3

LCM of 59/990, 290/933, 823/222

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 59/990,290/933,823/222

Given numbers are 59/990,290/933,823/222

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 59,290,823

Least Common Multiple of Numerators i.e. LCM of 59,290,823 is 14081530.

GCF of Denominators means GCF of 990,933,222 as per the given fractions.

GCF of 990,933,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,290,823

LCM of Fractions 59/990,290/933,823/222 is 14081530/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 14081530

Least Common Multiple of 59,290,823 with GCF Formula

Least Common Multiple of 59,290,823 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 59,290,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,290,823) = 1

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

GCF(59,290,823) x common factors =1 x 1 = 1

LCM(59,290,823) = ( 59 × 290 × 823 ) / 1

LCM(59,290,823) = 14081530 / 1

LCM(59,290,823) = 14081530


Lets's calculate GCF of 990,933,222

3 990, 933, 222
330, 311, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14081530/3

Therefore the LCM of Fractions 59/990,290/933,823/222 is 14081530/3

Greatest Common Factor of 990,933,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,933,222 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 990,933,222 . The biggest common factor number is the GCF number.
So the greatest common factor 990,933,222 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 59/990, 290/933, 823/222

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 59/990, 290/933, 823/222?

Answer: LCM of Numerators as per given numbers 59/990, 290/933, 823/222 is

LCM of Numerators i.e. for 59,290,823 is 14081530

GCF of denominators i.e. for 990,933,222 is 3.

Thus, LCM of Fractions is 14081530/3.Finally, LCM of Fractions for 59/990, 290/933, 823/222 is 14081530/3.