Least Common Multiple of 66/42, 865/18, 212/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/42, 865/18, 212/476 quickly i.e. 3025770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/42, 865/18, 212/476 is 3025770.

LCM(66/42, 865/18, 212/476) = 3025770

LCM of 66/42, 865/18, 212/476

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 66/42,865/18,212/476

Given numbers are 66/42,865/18,212/476

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 66,865,212

Least Common Multiple of Numerators i.e. LCM of 66,865,212 is 6051540.

GCF of Denominators means GCF of 42,18,476 as per the given fractions.

GCF of 42,18,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,865,212

LCM of Fractions 66/42,865/18,212/476 is 3025770

2 66, 865, 212
33, 865, 106

∴ So the LCM of the given numbers is 2 x 33 x 865 x 106 = 6051540

Least Common Multiple of 66,865,212 with GCF Formula

Least Common Multiple of 66,865,212 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 66,865,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,865,212) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,865,212) x common factors =1 x 2 = 2

LCM(66,865,212) = ( 66 × 865 × 212 ) / 2

LCM(66,865,212) = 12103080 / 2

LCM(66,865,212) = 6051540


Lets's calculate GCF of 42,18,476

2 42, 18, 476
21, 9, 238

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6051540/2

Therefore the LCM of Fractions 66/42,865/18,212/476 is 3025770

Greatest Common Factor of 42,18,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,18,476 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 18

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

1,2,3,6,9,18

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 42,18,476 . The biggest common factor number is the GCF number.
So the greatest common factor 42,18,476 is 2.


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 66/42, 865/18, 212/476

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 66/42, 865/18, 212/476?

Answer: LCM of Numerators as per given numbers 66/42, 865/18, 212/476 is

LCM of Numerators i.e. for 66,865,212 is 6051540

GCF of denominators i.e. for 42,18,476 is 2.

Thus, LCM of Fractions is 3025770.Finally, LCM of Fractions for 66/42, 865/18, 212/476 is 3025770.