Least Common Multiple of 486/88, 978/16, 384/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/88, 978/16, 384/450 quickly i.e. 2534976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/88, 978/16, 384/450 is 2534976.

LCM(486/88, 978/16, 384/450) = 2534976

LCM of 486/88, 978/16, 384/450

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 486/88,978/16,384/450

Given numbers are 486/88,978/16,384/450

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 486,978,384

Least Common Multiple of Numerators i.e. LCM of 486,978,384 is 5069952.

GCF of Denominators means GCF of 88,16,450 as per the given fractions.

GCF of 88,16,450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,978,384

LCM of Fractions 486/88,978/16,384/450 is 2534976

2 486, 978, 384
3 243, 489, 192
81, 163, 64

∴ So the LCM of the given numbers is 2 x 3 x 81 x 163 x 64 = 5069952

Least Common Multiple of 486,978,384 with GCF Formula

Least Common Multiple of 486,978,384 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 486,978,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,978,384) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(486,978,384) x common factors =6 x 6 = 36

LCM(486,978,384) = ( 486 × 978 × 384 ) / 36

LCM(486,978,384) = 182518272 / 36

LCM(486,978,384) = 5069952


Lets's calculate GCF of 88,16,450

2 88, 16, 450
44, 8, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5069952/2

Therefore the LCM of Fractions 486/88,978/16,384/450 is 2534976

Greatest Common Factor of 88,16,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,16,450 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 88,16,450 . The biggest common factor number is the GCF number.
So the greatest common factor 88,16,450 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 486/88, 978/16, 384/450

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 486/88, 978/16, 384/450?

Answer: LCM of Numerators as per given numbers 486/88, 978/16, 384/450 is

LCM of Numerators i.e. for 486,978,384 is 5069952

GCF of denominators i.e. for 88,16,450 is 2.

Thus, LCM of Fractions is 2534976.Finally, LCM of Fractions for 486/88, 978/16, 384/450 is 2534976.