Least Common Multiple of 27/333, 348/825, 606/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/333, 348/825, 606/370 quickly i.e. 316332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/333, 348/825, 606/370 is 316332.

LCM(27/333, 348/825, 606/370) = 316332

LCM of 27/333, 348/825, 606/370

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 27/333,348/825,606/370

Given numbers are 27/333,348/825,606/370

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 27,348,606

Least Common Multiple of Numerators i.e. LCM of 27,348,606 is 316332.

GCF of Denominators means GCF of 333,825,370 as per the given fractions.

GCF of 333,825,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,348,606

LCM of Fractions 27/333,348/825,606/370 is 316332

2 27, 348, 606
3 27, 174, 303
9, 58, 101

∴ So the LCM of the given numbers is 2 x 3 x 9 x 58 x 101 = 316332

Least Common Multiple of 27,348,606 with GCF Formula

Least Common Multiple of 27,348,606 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 27,348,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,348,606) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(27,348,606) x common factors =3 x 6 = 18

LCM(27,348,606) = ( 27 × 348 × 606 ) / 18

LCM(27,348,606) = 5693976 / 18

LCM(27,348,606) = 316332


Lets's calculate GCF of 333,825,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316332/1

Therefore the LCM of Fractions 27/333,348/825,606/370 is 316332

Greatest Common Factor of 333,825,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,825,370 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 333,825,370 . The biggest common factor number is the GCF number.
So the greatest common factor 333,825,370 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 27/333, 348/825, 606/370

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 27/333, 348/825, 606/370?

Answer: LCM of Numerators as per given numbers 27/333, 348/825, 606/370 is

LCM of Numerators i.e. for 27,348,606 is 316332

GCF of denominators i.e. for 333,825,370 is 1.

Thus, LCM of Fractions is 316332.Finally, LCM of Fractions for 27/333, 348/825, 606/370 is 316332.