Least Common Multiple of 799/474, 597/384, 414/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 799/474, 597/384, 414/482 quickly i.e. 32913207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/474, 597/384, 414/482 is 32913207.

LCM(799/474, 597/384, 414/482) = 32913207

LCM of 799/474, 597/384, 414/482

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 799/474,597/384,414/482

Given numbers are 799/474,597/384,414/482

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 799,597,414

Least Common Multiple of Numerators i.e. LCM of 799,597,414 is 65826414.

GCF of Denominators means GCF of 474,384,482 as per the given fractions.

GCF of 474,384,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,597,414

LCM of Fractions 799/474,597/384,414/482 is 32913207

3 799, 597, 414
799, 199, 138

∴ So the LCM of the given numbers is 3 x 799 x 199 x 138 = 65826414

Least Common Multiple of 799,597,414 with GCF Formula

Least Common Multiple of 799,597,414 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 799,597,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,597,414) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(799,597,414) x common factors =1 x 3 = 3

LCM(799,597,414) = ( 799 × 597 × 414 ) / 3

LCM(799,597,414) = 197479242 / 3

LCM(799,597,414) = 65826414


Lets's calculate GCF of 474,384,482

2 474, 384, 482
237, 192, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65826414/2

Therefore the LCM of Fractions 799/474,597/384,414/482 is 32913207

Greatest Common Factor of 474,384,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,384,482 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 474,384,482 . The biggest common factor number is the GCF number.
So the greatest common factor 474,384,482 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 799/474, 597/384, 414/482

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 799/474, 597/384, 414/482?

Answer: LCM of Numerators as per given numbers 799/474, 597/384, 414/482 is

LCM of Numerators i.e. for 799,597,414 is 65826414

GCF of denominators i.e. for 474,384,482 is 2.

Thus, LCM of Fractions is 32913207.Finally, LCM of Fractions for 799/474, 597/384, 414/482 is 32913207.