Least Common Multiple of 66/606, 108/966, 897/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/606, 108/966, 897/467 quickly i.e. 355212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/606, 108/966, 897/467 is 355212.

LCM(66/606, 108/966, 897/467) = 355212

LCM of 66/606, 108/966, 897/467

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 66/606,108/966,897/467

Given numbers are 66/606,108/966,897/467

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 66,108,897

Least Common Multiple of Numerators i.e. LCM of 66,108,897 is 355212.

GCF of Denominators means GCF of 606,966,467 as per the given fractions.

GCF of 606,966,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,108,897

LCM of Fractions 66/606,108/966,897/467 is 355212

2 66, 108, 897
3 33, 54, 897
11, 18, 299

∴ So the LCM of the given numbers is 2 x 3 x 11 x 18 x 299 = 355212

Least Common Multiple of 66,108,897 with GCF Formula

Least Common Multiple of 66,108,897 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 66,108,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,108,897) = 3

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

GCF(66,108,897) x common factors =3 x 6 = 18

LCM(66,108,897) = ( 66 × 108 × 897 ) / 18

LCM(66,108,897) = 6393816 / 18

LCM(66,108,897) = 355212


Lets's calculate GCF of 606,966,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355212/1

Therefore the LCM of Fractions 66/606,108/966,897/467 is 355212

Greatest Common Factor of 606,966,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,966,467 By Matching Biggest Common Factor Method

Factors of 606

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

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

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 606,966,467 . The biggest common factor number is the GCF number.
So the greatest common factor 606,966,467 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 66/606, 108/966, 897/467

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 66/606, 108/966, 897/467?

Answer: LCM of Numerators as per given numbers 66/606, 108/966, 897/467 is

LCM of Numerators i.e. for 66,108,897 is 355212

GCF of denominators i.e. for 606,966,467 is 1.

Thus, LCM of Fractions is 355212.Finally, LCM of Fractions for 66/606, 108/966, 897/467 is 355212.