Least Common Multiple of 69/288, 498/464, 996/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/288, 498/464, 996/534 quickly i.e. 11454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/288, 498/464, 996/534 is 11454.

LCM(69/288, 498/464, 996/534) = 11454

LCM of 69/288, 498/464, 996/534

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 69/288,498/464,996/534

Given numbers are 69/288,498/464,996/534

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 69,498,996

Least Common Multiple of Numerators i.e. LCM of 69,498,996 is 22908.

GCF of Denominators means GCF of 288,464,534 as per the given fractions.

GCF of 288,464,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,498,996

LCM of Fractions 69/288,498/464,996/534 is 11454

2 69, 498, 996
3 69, 249, 498
83 23, 83, 166
23, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 83 x 23 x 1 x 2 = 22908

Least Common Multiple of 69,498,996 with GCF Formula

Least Common Multiple of 69,498,996 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 69,498,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,498,996) = 3

common factors(in case of two or more numbers have common factors) = 498

GCF(69,498,996) x common factors =3 x 498 = 1494

LCM(69,498,996) = ( 69 × 498 × 996 ) / 1494

LCM(69,498,996) = 34224552 / 1494

LCM(69,498,996) = 22908


Lets's calculate GCF of 288,464,534

2 288, 464, 534
144, 232, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22908/2

Therefore the LCM of Fractions 69/288,498/464,996/534 is 11454

Greatest Common Factor of 288,464,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,464,534 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 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 288,464,534 . The biggest common factor number is the GCF number.
So the greatest common factor 288,464,534 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 69/288, 498/464, 996/534

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 69/288, 498/464, 996/534?

Answer: LCM of Numerators as per given numbers 69/288, 498/464, 996/534 is

LCM of Numerators i.e. for 69,498,996 is 22908

GCF of denominators i.e. for 288,464,534 is 2.

Thus, LCM of Fractions is 11454.Finally, LCM of Fractions for 69/288, 498/464, 996/534 is 11454.