Least Common Multiple of 438/31, 969/45, 466/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/31, 969/45, 466/60 quickly i.e. 32963442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/31, 969/45, 466/60 is 32963442.

LCM(438/31, 969/45, 466/60) = 32963442

LCM of 438/31, 969/45, 466/60

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 438/31,969/45,466/60

Given numbers are 438/31,969/45,466/60

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 438,969,466

Least Common Multiple of Numerators i.e. LCM of 438,969,466 is 32963442.

GCF of Denominators means GCF of 31,45,60 as per the given fractions.

GCF of 31,45,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,969,466

LCM of Fractions 438/31,969/45,466/60 is 32963442

2 438, 969, 466
3 219, 969, 233
73, 323, 233

∴ So the LCM of the given numbers is 2 x 3 x 73 x 323 x 233 = 32963442

Least Common Multiple of 438,969,466 with GCF Formula

Least Common Multiple of 438,969,466 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 438,969,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,969,466) = 1

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

GCF(438,969,466) x common factors =1 x 6 = 6

LCM(438,969,466) = ( 438 × 969 × 466 ) / 6

LCM(438,969,466) = 197780652 / 6

LCM(438,969,466) = 32963442


Lets's calculate GCF of 31,45,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32963442/1

Therefore the LCM of Fractions 438/31,969/45,466/60 is 32963442

Greatest Common Factor of 31,45,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,45,60 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 31,45,60 . The biggest common factor number is the GCF number.
So the greatest common factor 31,45,60 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 438/31, 969/45, 466/60

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 438/31, 969/45, 466/60?

Answer: LCM of Numerators as per given numbers 438/31, 969/45, 466/60 is

LCM of Numerators i.e. for 438,969,466 is 32963442

GCF of denominators i.e. for 31,45,60 is 1.

Thus, LCM of Fractions is 32963442.Finally, LCM of Fractions for 438/31, 969/45, 466/60 is 32963442.