Least Common Multiple of 74/367, 679/422, 482/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/367, 679/422, 482/472 quickly i.e. 12109286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/367, 679/422, 482/472 is 12109286.

LCM(74/367, 679/422, 482/472) = 12109286

LCM of 74/367, 679/422, 482/472

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 74/367,679/422,482/472

Given numbers are 74/367,679/422,482/472

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 74,679,482

Least Common Multiple of Numerators i.e. LCM of 74,679,482 is 12109286.

GCF of Denominators means GCF of 367,422,472 as per the given fractions.

GCF of 367,422,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,679,482

LCM of Fractions 74/367,679/422,482/472 is 12109286

2 74, 679, 482
37, 679, 241

∴ So the LCM of the given numbers is 2 x 37 x 679 x 241 = 12109286

Least Common Multiple of 74,679,482 with GCF Formula

Least Common Multiple of 74,679,482 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 74,679,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,679,482) = 1

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

GCF(74,679,482) x common factors =1 x 2 = 2

LCM(74,679,482) = ( 74 × 679 × 482 ) / 2

LCM(74,679,482) = 24218572 / 2

LCM(74,679,482) = 12109286


Lets's calculate GCF of 367,422,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12109286/1

Therefore the LCM of Fractions 74/367,679/422,482/472 is 12109286

Greatest Common Factor of 367,422,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,422,472 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 422

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

1,2,211,422

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 367,422,472 . The biggest common factor number is the GCF number.
So the greatest common factor 367,422,472 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 74/367, 679/422, 482/472

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 74/367, 679/422, 482/472?

Answer: LCM of Numerators as per given numbers 74/367, 679/422, 482/472 is

LCM of Numerators i.e. for 74,679,482 is 12109286

GCF of denominators i.e. for 367,422,472 is 1.

Thus, LCM of Fractions is 12109286.Finally, LCM of Fractions for 74/367, 679/422, 482/472 is 12109286.