Least Common Multiple of 24/665, 15/814, 540/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/665, 15/814, 540/764 quickly i.e. 1080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/665, 15/814, 540/764 is 1080.

LCM(24/665, 15/814, 540/764) = 1080

LCM of 24/665, 15/814, 540/764

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 24/665,15/814,540/764

Given numbers are 24/665,15/814,540/764

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 24,15,540

Least Common Multiple of Numerators i.e. LCM of 24,15,540 is 1080.

GCF of Denominators means GCF of 665,814,764 as per the given fractions.

GCF of 665,814,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,15,540

LCM of Fractions 24/665,15/814,540/764 is 1080

2 24, 15, 540
2 12, 15, 270
3 6, 15, 135
5 2, 5, 45
2, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 1 x 9 = 1080

Least Common Multiple of 24,15,540 with GCF Formula

Least Common Multiple of 24,15,540 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 24,15,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,15,540) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(24,15,540) x common factors =3 x 60 = 180

LCM(24,15,540) = ( 24 × 15 × 540 ) / 180

LCM(24,15,540) = 194400 / 180

LCM(24,15,540) = 1080


Lets's calculate GCF of 665,814,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080/1

Therefore the LCM of Fractions 24/665,15/814,540/764 is 1080

Greatest Common Factor of 665,814,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,814,764 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 665,814,764 . The biggest common factor number is the GCF number.
So the greatest common factor 665,814,764 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 24/665, 15/814, 540/764

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 24/665, 15/814, 540/764?

Answer: LCM of Numerators as per given numbers 24/665, 15/814, 540/764 is

LCM of Numerators i.e. for 24,15,540 is 1080

GCF of denominators i.e. for 665,814,764 is 1.

Thus, LCM of Fractions is 1080.Finally, LCM of Fractions for 24/665, 15/814, 540/764 is 1080.