Least Common Multiple of 115/64, 288/88, 333/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/64, 288/88, 333/498 quickly i.e. 612720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/64, 288/88, 333/498 is 612720.

LCM(115/64, 288/88, 333/498) = 612720

LCM of 115/64, 288/88, 333/498

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 115/64,288/88,333/498

Given numbers are 115/64,288/88,333/498

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 115,288,333

Least Common Multiple of Numerators i.e. LCM of 115,288,333 is 1225440.

GCF of Denominators means GCF of 64,88,498 as per the given fractions.

GCF of 64,88,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,288,333

LCM of Fractions 115/64,288/88,333/498 is 612720

3 115, 288, 333
3 115, 96, 111
115, 32, 37

∴ So the LCM of the given numbers is 3 x 3 x 115 x 32 x 37 = 1225440

Least Common Multiple of 115,288,333 with GCF Formula

Least Common Multiple of 115,288,333 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 115,288,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,288,333) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(115,288,333) x common factors =1 x 9 = 9

LCM(115,288,333) = ( 115 × 288 × 333 ) / 9

LCM(115,288,333) = 11028960 / 9

LCM(115,288,333) = 1225440


Lets's calculate GCF of 64,88,498

2 64, 88, 498
32, 44, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1225440/2

Therefore the LCM of Fractions 115/64,288/88,333/498 is 612720

Greatest Common Factor of 64,88,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,88,498 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 64,88,498 . The biggest common factor number is the GCF number.
So the greatest common factor 64,88,498 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 115/64, 288/88, 333/498

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 115/64, 288/88, 333/498?

Answer: LCM of Numerators as per given numbers 115/64, 288/88, 333/498 is

LCM of Numerators i.e. for 115,288,333 is 1225440

GCF of denominators i.e. for 64,88,498 is 2.

Thus, LCM of Fractions is 612720.Finally, LCM of Fractions for 115/64, 288/88, 333/498 is 612720.