Least Common Multiple of 48/387, 39/906, 489/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/387, 39/906, 489/574 quickly i.e. 101712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/387, 39/906, 489/574 is 101712.

LCM(48/387, 39/906, 489/574) = 101712

LCM of 48/387, 39/906, 489/574

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 48/387,39/906,489/574

Given numbers are 48/387,39/906,489/574

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 48,39,489

Least Common Multiple of Numerators i.e. LCM of 48,39,489 is 101712.

GCF of Denominators means GCF of 387,906,574 as per the given fractions.

GCF of 387,906,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,39,489

LCM of Fractions 48/387,39/906,489/574 is 101712

3 48, 39, 489
16, 13, 163

∴ So the LCM of the given numbers is 3 x 16 x 13 x 163 = 101712

Least Common Multiple of 48,39,489 with GCF Formula

Least Common Multiple of 48,39,489 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 48,39,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,39,489) = 3

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

GCF(48,39,489) x common factors =3 x 3 = 9

LCM(48,39,489) = ( 48 × 39 × 489 ) / 9

LCM(48,39,489) = 915408 / 9

LCM(48,39,489) = 101712


Lets's calculate GCF of 387,906,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101712/1

Therefore the LCM of Fractions 48/387,39/906,489/574 is 101712

Greatest Common Factor of 387,906,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,906,574 By Matching Biggest Common Factor Method

Factors of 387

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

1,3,9,43,129,387

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 387,906,574 . The biggest common factor number is the GCF number.
So the greatest common factor 387,906,574 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 48/387, 39/906, 489/574

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 48/387, 39/906, 489/574?

Answer: LCM of Numerators as per given numbers 48/387, 39/906, 489/574 is

LCM of Numerators i.e. for 48,39,489 is 101712

GCF of denominators i.e. for 387,906,574 is 1.

Thus, LCM of Fractions is 101712.Finally, LCM of Fractions for 48/387, 39/906, 489/574 is 101712.