Least Common Multiple of 466/37, 469/53, 368/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/37, 469/53, 368/85 quickly i.e. 40213936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/37, 469/53, 368/85 is 40213936.

LCM(466/37, 469/53, 368/85) = 40213936

LCM of 466/37, 469/53, 368/85

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 466/37,469/53,368/85

Given numbers are 466/37,469/53,368/85

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 466,469,368

Least Common Multiple of Numerators i.e. LCM of 466,469,368 is 40213936.

GCF of Denominators means GCF of 37,53,85 as per the given fractions.

GCF of 37,53,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,469,368

LCM of Fractions 466/37,469/53,368/85 is 40213936

2 466, 469, 368
233, 469, 184

∴ So the LCM of the given numbers is 2 x 233 x 469 x 184 = 40213936

Least Common Multiple of 466,469,368 with GCF Formula

Least Common Multiple of 466,469,368 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 466,469,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,469,368) = 1

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

GCF(466,469,368) x common factors =1 x 2 = 2

LCM(466,469,368) = ( 466 × 469 × 368 ) / 2

LCM(466,469,368) = 80427872 / 2

LCM(466,469,368) = 40213936


Lets's calculate GCF of 37,53,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40213936/1

Therefore the LCM of Fractions 466/37,469/53,368/85 is 40213936

Greatest Common Factor of 37,53,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,53,85 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 85

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

1,5,17,85

Greatest Common Factor

We found the factors 37,53,85 . The biggest common factor number is the GCF number.
So the greatest common factor 37,53,85 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 466/37, 469/53, 368/85

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 466/37, 469/53, 368/85?

Answer: LCM of Numerators as per given numbers 466/37, 469/53, 368/85 is

LCM of Numerators i.e. for 466,469,368 is 40213936

GCF of denominators i.e. for 37,53,85 is 1.

Thus, LCM of Fractions is 40213936.Finally, LCM of Fractions for 466/37, 469/53, 368/85 is 40213936.