Least Common Multiple of 290/66, 387/18, 297/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/66, 387/18, 297/606 quickly i.e. 617265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/66, 387/18, 297/606 is 617265.

LCM(290/66, 387/18, 297/606) = 617265

LCM of 290/66, 387/18, 297/606

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 290/66,387/18,297/606

Given numbers are 290/66,387/18,297/606

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 290,387,297

Least Common Multiple of Numerators i.e. LCM of 290,387,297 is 3703590.

GCF of Denominators means GCF of 66,18,606 as per the given fractions.

GCF of 66,18,606 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,387,297

LCM of Fractions 290/66,387/18,297/606 is 617265

3 290, 387, 297
3 290, 129, 99
290, 43, 33

∴ So the LCM of the given numbers is 3 x 3 x 290 x 43 x 33 = 3703590

Least Common Multiple of 290,387,297 with GCF Formula

Least Common Multiple of 290,387,297 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 290,387,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,387,297) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(290,387,297) x common factors =1 x 9 = 9

LCM(290,387,297) = ( 290 × 387 × 297 ) / 9

LCM(290,387,297) = 33332310 / 9

LCM(290,387,297) = 3703590


Lets's calculate GCF of 66,18,606

2 66, 18, 606
3 33, 9, 303
11, 3, 101

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3703590/6

Therefore the LCM of Fractions 290/66,387/18,297/606 is 617265

Greatest Common Factor of 66,18,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,18,606 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 66,18,606 . The biggest common factor number is the GCF number.
So the greatest common factor 66,18,606 is 6.


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 290/66, 387/18, 297/606

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 290/66, 387/18, 297/606?

Answer: LCM of Numerators as per given numbers 290/66, 387/18, 297/606 is

LCM of Numerators i.e. for 290,387,297 is 3703590

GCF of denominators i.e. for 66,18,606 is 6.

Thus, LCM of Fractions is 617265.Finally, LCM of Fractions for 290/66, 387/18, 297/606 is 617265.