Least Common Multiple of 1328/288, 2628/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1328/288, 2628/486 quickly i.e. 48472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1328/288, 2628/486 is 48472.

LCM(1328/288, 2628/486) = 48472

LCM of 1328/288, 2628/486

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 1328/288,2628/486

Given numbers are 1328/288,2628/486

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 1328,2628

Least Common Multiple of Numerators i.e. LCM of 1328,2628 is 872496.

GCF of Denominators means GCF of 288,486 as per the given fractions.

GCF of 288,486 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1328,2628

LCM of Fractions 1328/288,2628/486 is 48472

2 1328, 2628
2 664, 1314
332, 657

∴ So the LCM of the given numbers is 2 x 2 x 332 x 657 = 872496

Least Common Multiple of 1328,2628 with GCF Formula

Least Common Multiple of 1328,2628 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 1328,2628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1328,2628) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(1328,2628) x common factors =4 x 1 = 4

LCM(1328,2628) = ( 1328 × 2628 ) / 4

LCM(1328,2628) = 3489984 / 4

LCM(1328,2628) = 872496


Lets's calculate GCF of 288,486

2 288, 486
3 144, 243
3 48, 81
16, 27

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872496/18

Therefore the LCM of Fractions 1328/288,2628/486 is 48472

Greatest Common Factor of 288,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,486 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 288,486 . The biggest common factor number is the GCF number.
So the greatest common factor 288,486 is 18.


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 1328/288, 2628/486

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 1328/288, 2628/486?

Answer: LCM of Numerators as per given numbers 1328/288, 2628/486 is

LCM of Numerators i.e. for 1328,2628 is 872496

GCF of denominators i.e. for 288,486 is 18.

Thus, LCM of Fractions is 48472.Finally, LCM of Fractions for 1328/288, 2628/486 is 48472.