Least Common Multiple of 81/398, 80/422, 672/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/398, 80/422, 672/476 quickly i.e. 45360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/398, 80/422, 672/476 is 45360.

LCM(81/398, 80/422, 672/476) = 45360

LCM of 81/398, 80/422, 672/476

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 81/398,80/422,672/476

Given numbers are 81/398,80/422,672/476

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 81,80,672

Least Common Multiple of Numerators i.e. LCM of 81,80,672 is 90720.

GCF of Denominators means GCF of 398,422,476 as per the given fractions.

GCF of 398,422,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,80,672

LCM of Fractions 81/398,80/422,672/476 is 45360

2 81, 80, 672
2 81, 40, 336
2 81, 20, 168
2 81, 10, 84
3 81, 5, 42
27, 5, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 27 x 5 x 14 = 90720

Least Common Multiple of 81,80,672 with GCF Formula

Least Common Multiple of 81,80,672 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 81,80,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,80,672) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(81,80,672) x common factors =1 x 48 = 48

LCM(81,80,672) = ( 81 × 80 × 672 ) / 48

LCM(81,80,672) = 4354560 / 48

LCM(81,80,672) = 90720


Lets's calculate GCF of 398,422,476

2 398, 422, 476
199, 211, 238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90720/2

Therefore the LCM of Fractions 81/398,80/422,672/476 is 45360

Greatest Common Factor of 398,422,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,422,476 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

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 398,422,476 . The biggest common factor number is the GCF number.
So the greatest common factor 398,422,476 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 81/398, 80/422, 672/476

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 81/398, 80/422, 672/476?

Answer: LCM of Numerators as per given numbers 81/398, 80/422, 672/476 is

LCM of Numerators i.e. for 81,80,672 is 90720

GCF of denominators i.e. for 398,422,476 is 2.

Thus, LCM of Fractions is 45360.Finally, LCM of Fractions for 81/398, 80/422, 672/476 is 45360.