Least Common Multiple of 288/16, 561/65, 681/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/16, 561/65, 681/350 quickly i.e. 12225312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/16, 561/65, 681/350 is 12225312.

LCM(288/16, 561/65, 681/350) = 12225312

LCM of 288/16, 561/65, 681/350

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 288/16,561/65,681/350

Given numbers are 288/16,561/65,681/350

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 288,561,681

Least Common Multiple of Numerators i.e. LCM of 288,561,681 is 12225312.

GCF of Denominators means GCF of 16,65,350 as per the given fractions.

GCF of 16,65,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,561,681

LCM of Fractions 288/16,561/65,681/350 is 12225312

3 288, 561, 681
96, 187, 227

∴ So the LCM of the given numbers is 3 x 96 x 187 x 227 = 12225312

Least Common Multiple of 288,561,681 with GCF Formula

Least Common Multiple of 288,561,681 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 288,561,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,561,681) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(288,561,681) x common factors =3 x 3 = 9

LCM(288,561,681) = ( 288 × 561 × 681 ) / 9

LCM(288,561,681) = 110027808 / 9

LCM(288,561,681) = 12225312


Lets's calculate GCF of 16,65,350

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12225312/1

Therefore the LCM of Fractions 288/16,561/65,681/350 is 12225312

Greatest Common Factor of 16,65,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,65,350 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 16,65,350 . The biggest common factor number is the GCF number.
So the greatest common factor 16,65,350 is 1.


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 288/16, 561/65, 681/350

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 288/16, 561/65, 681/350?

Answer: LCM of Numerators as per given numbers 288/16, 561/65, 681/350 is

LCM of Numerators i.e. for 288,561,681 is 12225312

GCF of denominators i.e. for 16,65,350 is 1.

Thus, LCM of Fractions is 12225312.Finally, LCM of Fractions for 288/16, 561/65, 681/350 is 12225312.