Least Common Multiple of 66/30, 945/85, 424/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/30, 945/85, 424/471 quickly i.e. 4407480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/30, 945/85, 424/471 is 4407480.

LCM(66/30, 945/85, 424/471) = 4407480

LCM of 66/30, 945/85, 424/471

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 66/30,945/85,424/471

Given numbers are 66/30,945/85,424/471

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 66,945,424

Least Common Multiple of Numerators i.e. LCM of 66,945,424 is 4407480.

GCF of Denominators means GCF of 30,85,471 as per the given fractions.

GCF of 30,85,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,945,424

LCM of Fractions 66/30,945/85,424/471 is 4407480

2 66, 945, 424
3 33, 945, 212
11, 315, 212

∴ So the LCM of the given numbers is 2 x 3 x 11 x 315 x 212 = 4407480

Least Common Multiple of 66,945,424 with GCF Formula

Least Common Multiple of 66,945,424 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 66,945,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,945,424) = 1

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

GCF(66,945,424) x common factors =1 x 6 = 6

LCM(66,945,424) = ( 66 × 945 × 424 ) / 6

LCM(66,945,424) = 26444880 / 6

LCM(66,945,424) = 4407480


Lets's calculate GCF of 30,85,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4407480/1

Therefore the LCM of Fractions 66/30,945/85,424/471 is 4407480

Greatest Common Factor of 30,85,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,85,471 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 30,85,471 . The biggest common factor number is the GCF number.
So the greatest common factor 30,85,471 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 66/30, 945/85, 424/471

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 66/30, 945/85, 424/471?

Answer: LCM of Numerators as per given numbers 66/30, 945/85, 424/471 is

LCM of Numerators i.e. for 66,945,424 is 4407480

GCF of denominators i.e. for 30,85,471 is 1.

Thus, LCM of Fractions is 4407480.Finally, LCM of Fractions for 66/30, 945/85, 424/471 is 4407480.