Least Common Multiple of 33/882, 34/482, 123/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/882, 34/482, 123/213 quickly i.e. 46002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/882, 34/482, 123/213 is 46002.

LCM(33/882, 34/482, 123/213) = 46002

LCM of 33/882, 34/482, 123/213

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 33/882,34/482,123/213

Given numbers are 33/882,34/482,123/213

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 33,34,123

Least Common Multiple of Numerators i.e. LCM of 33,34,123 is 46002.

GCF of Denominators means GCF of 882,482,213 as per the given fractions.

GCF of 882,482,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,34,123

LCM of Fractions 33/882,34/482,123/213 is 46002

3 33, 34, 123
11, 34, 41

∴ So the LCM of the given numbers is 3 x 11 x 34 x 41 = 46002

Least Common Multiple of 33,34,123 with GCF Formula

Least Common Multiple of 33,34,123 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 33,34,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,34,123) = 1

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

GCF(33,34,123) x common factors =1 x 3 = 3

LCM(33,34,123) = ( 33 × 34 × 123 ) / 3

LCM(33,34,123) = 138006 / 3

LCM(33,34,123) = 46002


Lets's calculate GCF of 882,482,213

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46002/1

Therefore the LCM of Fractions 33/882,34/482,123/213 is 46002

Greatest Common Factor of 882,482,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,482,213 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 882,482,213 . The biggest common factor number is the GCF number.
So the greatest common factor 882,482,213 is 1.


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 33/882, 34/482, 123/213

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 33/882, 34/482, 123/213?

Answer: LCM of Numerators as per given numbers 33/882, 34/482, 123/213 is

LCM of Numerators i.e. for 33,34,123 is 46002

GCF of denominators i.e. for 882,482,213 is 1.

Thus, LCM of Fractions is 46002.Finally, LCM of Fractions for 33/882, 34/482, 123/213 is 46002.