Least Common Multiple of 33/558, 804/228, 163/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/558, 804/228, 163/312 quickly i.e. 240262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/558, 804/228, 163/312 is 240262.

LCM(33/558, 804/228, 163/312) = 240262

LCM of 33/558, 804/228, 163/312

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 33/558,804/228,163/312

Given numbers are 33/558,804/228,163/312

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 33,804,163

Least Common Multiple of Numerators i.e. LCM of 33,804,163 is 1441572.

GCF of Denominators means GCF of 558,228,312 as per the given fractions.

GCF of 558,228,312 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,804,163

LCM of Fractions 33/558,804/228,163/312 is 240262

3 33, 804, 163
11, 268, 163

∴ So the LCM of the given numbers is 3 x 11 x 268 x 163 = 1441572

Least Common Multiple of 33,804,163 with GCF Formula

Least Common Multiple of 33,804,163 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 33,804,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,804,163) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,804,163) x common factors =1 x 3 = 3

LCM(33,804,163) = ( 33 × 804 × 163 ) / 3

LCM(33,804,163) = 4324716 / 3

LCM(33,804,163) = 1441572


Lets's calculate GCF of 558,228,312

2 558, 228, 312
3 279, 114, 156
93, 38, 52

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1441572/6

Therefore the LCM of Fractions 33/558,804/228,163/312 is 240262

Greatest Common Factor of 558,228,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,228,312 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 558,228,312 . The biggest common factor number is the GCF number.
So the greatest common factor 558,228,312 is 6.


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 33/558, 804/228, 163/312

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 33/558, 804/228, 163/312?

Answer: LCM of Numerators as per given numbers 33/558, 804/228, 163/312 is

LCM of Numerators i.e. for 33,804,163 is 1441572

GCF of denominators i.e. for 558,228,312 is 6.

Thus, LCM of Fractions is 240262.Finally, LCM of Fractions for 33/558, 804/228, 163/312 is 240262.