Least Common Multiple of 447/298, 920/387, 638/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 447/298, 920/387, 638/518 quickly i.e. 131185560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/298, 920/387, 638/518 is 131185560.

LCM(447/298, 920/387, 638/518) = 131185560

LCM of 447/298, 920/387, 638/518

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 447/298,920/387,638/518

Given numbers are 447/298,920/387,638/518

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 447,920,638

Least Common Multiple of Numerators i.e. LCM of 447,920,638 is 131185560.

GCF of Denominators means GCF of 298,387,518 as per the given fractions.

GCF of 298,387,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,920,638

LCM of Fractions 447/298,920/387,638/518 is 131185560

2 447, 920, 638
447, 460, 319

∴ So the LCM of the given numbers is 2 x 447 x 460 x 319 = 131185560

Least Common Multiple of 447,920,638 with GCF Formula

Least Common Multiple of 447,920,638 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 447,920,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,920,638) = 1

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

GCF(447,920,638) x common factors =1 x 2 = 2

LCM(447,920,638) = ( 447 × 920 × 638 ) / 2

LCM(447,920,638) = 262371120 / 2

LCM(447,920,638) = 131185560


Lets's calculate GCF of 298,387,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131185560/1

Therefore the LCM of Fractions 447/298,920/387,638/518 is 131185560

Greatest Common Factor of 298,387,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,387,518 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 298,387,518 . The biggest common factor number is the GCF number.
So the greatest common factor 298,387,518 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 447/298, 920/387, 638/518

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 447/298, 920/387, 638/518?

Answer: LCM of Numerators as per given numbers 447/298, 920/387, 638/518 is

LCM of Numerators i.e. for 447,920,638 is 131185560

GCF of denominators i.e. for 298,387,518 is 1.

Thus, LCM of Fractions is 131185560.Finally, LCM of Fractions for 447/298, 920/387, 638/518 is 131185560.