Least Common Multiple of 24/168, 449/960, 561/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/168, 449/960, 561/698 quickly i.e. 1007556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/168, 449/960, 561/698 is 1007556.

LCM(24/168, 449/960, 561/698) = 1007556

LCM of 24/168, 449/960, 561/698

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 24/168,449/960,561/698

Given numbers are 24/168,449/960,561/698

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 24,449,561

Least Common Multiple of Numerators i.e. LCM of 24,449,561 is 2015112.

GCF of Denominators means GCF of 168,960,698 as per the given fractions.

GCF of 168,960,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,449,561

LCM of Fractions 24/168,449/960,561/698 is 1007556

3 24, 449, 561
8, 449, 187

∴ So the LCM of the given numbers is 3 x 8 x 449 x 187 = 2015112

Least Common Multiple of 24,449,561 with GCF Formula

Least Common Multiple of 24,449,561 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 24,449,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,449,561) = 1

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

GCF(24,449,561) x common factors =1 x 3 = 3

LCM(24,449,561) = ( 24 × 449 × 561 ) / 3

LCM(24,449,561) = 6045336 / 3

LCM(24,449,561) = 2015112


Lets's calculate GCF of 168,960,698

2 168, 960, 698
84, 480, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2015112/2

Therefore the LCM of Fractions 24/168,449/960,561/698 is 1007556

Greatest Common Factor of 168,960,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,960,698 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 168,960,698 . The biggest common factor number is the GCF number.
So the greatest common factor 168,960,698 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 24/168, 449/960, 561/698

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 24/168, 449/960, 561/698?

Answer: LCM of Numerators as per given numbers 24/168, 449/960, 561/698 is

LCM of Numerators i.e. for 24,449,561 is 2015112

GCF of denominators i.e. for 168,960,698 is 2.

Thus, LCM of Fractions is 1007556.Finally, LCM of Fractions for 24/168, 449/960, 561/698 is 1007556.