Least Common Multiple of 24/612, 87/400, 360/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/612, 87/400, 360/240 quickly i.e. 2610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/612, 87/400, 360/240 is 2610.

LCM(24/612, 87/400, 360/240) = 2610

LCM of 24/612, 87/400, 360/240

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 24/612,87/400,360/240

Given numbers are 24/612,87/400,360/240

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 24,87,360

Least Common Multiple of Numerators i.e. LCM of 24,87,360 is 10440.

GCF of Denominators means GCF of 612,400,240 as per the given fractions.

GCF of 612,400,240 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,87,360

LCM of Fractions 24/612,87/400,360/240 is 2610

2 24, 87, 360
2 12, 87, 180
2 6, 87, 90
3 3, 87, 45
1, 29, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 29 x 15 = 10440

Least Common Multiple of 24,87,360 with GCF Formula

Least Common Multiple of 24,87,360 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 24,87,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,87,360) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(24,87,360) x common factors =3 x 24 = 72

LCM(24,87,360) = ( 24 × 87 × 360 ) / 72

LCM(24,87,360) = 751680 / 72

LCM(24,87,360) = 10440


Lets's calculate GCF of 612,400,240

2 612, 400, 240
2 306, 200, 120
153, 100, 60

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10440/4

Therefore the LCM of Fractions 24/612,87/400,360/240 is 2610

Greatest Common Factor of 612,400,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,400,240 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 612,400,240 . The biggest common factor number is the GCF number.
So the greatest common factor 612,400,240 is 4.


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 24/612, 87/400, 360/240

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 24/612, 87/400, 360/240?

Answer: LCM of Numerators as per given numbers 24/612, 87/400, 360/240 is

LCM of Numerators i.e. for 24,87,360 is 10440

GCF of denominators i.e. for 612,400,240 is 4.

Thus, LCM of Fractions is 2610.Finally, LCM of Fractions for 24/612, 87/400, 360/240 is 2610.