Least Common Multiple of 12/838, 234/362, 182/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/838, 234/362, 182/587 quickly i.e. 3276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/838, 234/362, 182/587 is 3276.

LCM(12/838, 234/362, 182/587) = 3276

LCM of 12/838, 234/362, 182/587

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 12/838,234/362,182/587

Given numbers are 12/838,234/362,182/587

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 12,234,182

Least Common Multiple of Numerators i.e. LCM of 12,234,182 is 3276.

GCF of Denominators means GCF of 838,362,587 as per the given fractions.

GCF of 838,362,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,234,182

LCM of Fractions 12/838,234/362,182/587 is 3276

2 12, 234, 182
3 6, 117, 91
13 2, 39, 91
2, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 3 x 7 = 3276

Least Common Multiple of 12,234,182 with GCF Formula

Least Common Multiple of 12,234,182 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 12,234,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,234,182) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(12,234,182) x common factors =2 x 78 = 156

LCM(12,234,182) = ( 12 × 234 × 182 ) / 156

LCM(12,234,182) = 511056 / 156

LCM(12,234,182) = 3276


Lets's calculate GCF of 838,362,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3276/1

Therefore the LCM of Fractions 12/838,234/362,182/587 is 3276

Greatest Common Factor of 838,362,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,362,587 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 838,362,587 . The biggest common factor number is the GCF number.
So the greatest common factor 838,362,587 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 12/838, 234/362, 182/587

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 12/838, 234/362, 182/587?

Answer: LCM of Numerators as per given numbers 12/838, 234/362, 182/587 is

LCM of Numerators i.e. for 12,234,182 is 3276

GCF of denominators i.e. for 838,362,587 is 1.

Thus, LCM of Fractions is 3276.Finally, LCM of Fractions for 12/838, 234/362, 182/587 is 3276.