Least Common Multiple of 33/181, 524/819, 836/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/181, 524/819, 836/839 quickly i.e. 328548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/181, 524/819, 836/839 is 328548.

LCM(33/181, 524/819, 836/839) = 328548

LCM of 33/181, 524/819, 836/839

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 33/181,524/819,836/839

Given numbers are 33/181,524/819,836/839

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 33,524,836

Least Common Multiple of Numerators i.e. LCM of 33,524,836 is 328548.

GCF of Denominators means GCF of 181,819,839 as per the given fractions.

GCF of 181,819,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,524,836

LCM of Fractions 33/181,524/819,836/839 is 328548

2 33, 524, 836
2 33, 262, 418
11 33, 131, 209
3, 131, 19

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 131 x 19 = 328548

Least Common Multiple of 33,524,836 with GCF Formula

Least Common Multiple of 33,524,836 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 33,524,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,524,836) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(33,524,836) x common factors =1 x 44 = 44

LCM(33,524,836) = ( 33 × 524 × 836 ) / 44

LCM(33,524,836) = 14456112 / 44

LCM(33,524,836) = 328548


Lets's calculate GCF of 181,819,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328548/1

Therefore the LCM of Fractions 33/181,524/819,836/839 is 328548

Greatest Common Factor of 181,819,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,819,839 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 181,819,839 . The biggest common factor number is the GCF number.
So the greatest common factor 181,819,839 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 33/181, 524/819, 836/839

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 33/181, 524/819, 836/839?

Answer: LCM of Numerators as per given numbers 33/181, 524/819, 836/839 is

LCM of Numerators i.e. for 33,524,836 is 328548

GCF of denominators i.e. for 181,819,839 is 1.

Thus, LCM of Fractions is 328548.Finally, LCM of Fractions for 33/181, 524/819, 836/839 is 328548.