Least Common Multiple of 3088/447, 2685/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3088/447, 2685/576 quickly i.e. 2763760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3088/447, 2685/576 is 2763760.

LCM(3088/447, 2685/576) = 2763760

LCM of 3088/447, 2685/576

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 3088/447,2685/576

Given numbers are 3088/447,2685/576

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 3088,2685

Least Common Multiple of Numerators i.e. LCM of 3088,2685 is 8291280.

GCF of Denominators means GCF of 447,576 as per the given fractions.

GCF of 447,576 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3088,2685

LCM of Fractions 3088/447,2685/576 is 2763760

Given numbers has no common factors except 1. So, there LCM is their product i.e 8291280

Least Common Multiple of 3088,2685 with GCF Formula

Least Common Multiple of 3088,2685 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 3088,2685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3088,2685) = 1

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

GCF(3088,2685) x common factors =1 x 1 = 1

LCM(3088,2685) = ( 3088 × 2685 ) / 1

LCM(3088,2685) = 8291280 / 1

LCM(3088,2685) = 8291280


Lets's calculate GCF of 447,576

3 447, 576
149, 192

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8291280/3

Therefore the LCM of Fractions 3088/447,2685/576 is 2763760

Greatest Common Factor of 447,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,576 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 447,576 . The biggest common factor number is the GCF number.
So the greatest common factor 447,576 is 3.


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 3088/447, 2685/576

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 3088/447, 2685/576?

Answer: LCM of Numerators as per given numbers 3088/447, 2685/576 is

LCM of Numerators i.e. for 3088,2685 is 8291280

GCF of denominators i.e. for 447,576 is 3.

Thus, LCM of Fractions is 2763760.Finally, LCM of Fractions for 3088/447, 2685/576 is 2763760.