Least Common Multiple of 90/792, 401/460, 916/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/792, 401/460, 916/446 quickly i.e. 8264610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/792, 401/460, 916/446 is 8264610.

LCM(90/792, 401/460, 916/446) = 8264610

LCM of 90/792, 401/460, 916/446

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 90/792,401/460,916/446

Given numbers are 90/792,401/460,916/446

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 90,401,916

Least Common Multiple of Numerators i.e. LCM of 90,401,916 is 16529220.

GCF of Denominators means GCF of 792,460,446 as per the given fractions.

GCF of 792,460,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,401,916

LCM of Fractions 90/792,401/460,916/446 is 8264610

2 90, 401, 916
45, 401, 458

∴ So the LCM of the given numbers is 2 x 45 x 401 x 458 = 16529220

Least Common Multiple of 90,401,916 with GCF Formula

Least Common Multiple of 90,401,916 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 90,401,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,401,916) = 1

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

GCF(90,401,916) x common factors =1 x 2 = 2

LCM(90,401,916) = ( 90 × 401 × 916 ) / 2

LCM(90,401,916) = 33058440 / 2

LCM(90,401,916) = 16529220


Lets's calculate GCF of 792,460,446

2 792, 460, 446
396, 230, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16529220/2

Therefore the LCM of Fractions 90/792,401/460,916/446 is 8264610

Greatest Common Factor of 792,460,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,460,446 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 792,460,446 . The biggest common factor number is the GCF number.
So the greatest common factor 792,460,446 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 90/792, 401/460, 916/446

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 90/792, 401/460, 916/446?

Answer: LCM of Numerators as per given numbers 90/792, 401/460, 916/446 is

LCM of Numerators i.e. for 90,401,916 is 16529220

GCF of denominators i.e. for 792,460,446 is 2.

Thus, LCM of Fractions is 8264610.Finally, LCM of Fractions for 90/792, 401/460, 916/446 is 8264610.