Least Common Multiple of 81/304, 584/603, 852/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/304, 584/603, 852/842 quickly i.e. 3358584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/304, 584/603, 852/842 is 3358584.

LCM(81/304, 584/603, 852/842) = 3358584

LCM of 81/304, 584/603, 852/842

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 81/304,584/603,852/842

Given numbers are 81/304,584/603,852/842

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 81,584,852

Least Common Multiple of Numerators i.e. LCM of 81,584,852 is 3358584.

GCF of Denominators means GCF of 304,603,842 as per the given fractions.

GCF of 304,603,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,584,852

LCM of Fractions 81/304,584/603,852/842 is 3358584

2 81, 584, 852
2 81, 292, 426
3 81, 146, 213
27, 146, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 146 x 71 = 3358584

Least Common Multiple of 81,584,852 with GCF Formula

Least Common Multiple of 81,584,852 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 81,584,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,584,852) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(81,584,852) x common factors =1 x 12 = 12

LCM(81,584,852) = ( 81 × 584 × 852 ) / 12

LCM(81,584,852) = 40303008 / 12

LCM(81,584,852) = 3358584


Lets's calculate GCF of 304,603,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3358584/1

Therefore the LCM of Fractions 81/304,584/603,852/842 is 3358584

Greatest Common Factor of 304,603,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,603,842 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 304,603,842 . The biggest common factor number is the GCF number.
So the greatest common factor 304,603,842 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 81/304, 584/603, 852/842

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 81/304, 584/603, 852/842?

Answer: LCM of Numerators as per given numbers 81/304, 584/603, 852/842 is

LCM of Numerators i.e. for 81,584,852 is 3358584

GCF of denominators i.e. for 304,603,842 is 1.

Thus, LCM of Fractions is 3358584.Finally, LCM of Fractions for 81/304, 584/603, 852/842 is 3358584.