Least Common Multiple of 24/767, 1335/7525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/767, 1335/7525 quickly i.e. 10680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/767, 1335/7525 is 10680.

LCM(24/767, 1335/7525) = 10680

LCM of 24/767, 1335/7525

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 24/767,1335/7525

Given numbers are 24/767,1335/7525

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 24,1335

Least Common Multiple of Numerators i.e. LCM of 24,1335 is 10680.

GCF of Denominators means GCF of 767,7525 as per the given fractions.

GCF of 767,7525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,1335

LCM of Fractions 24/767,1335/7525 is 10680

3 24, 1335
8, 445

∴ So the LCM of the given numbers is 3 x 8 x 445 = 10680

Least Common Multiple of 24,1335 with GCF Formula

Least Common Multiple of 24,1335 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 24,1335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1335) = 3

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

GCF(24,1335) x common factors =3 x 1 = 3

LCM(24,1335) = ( 24 × 1335 ) / 3

LCM(24,1335) = 32040 / 3

LCM(24,1335) = 10680


Lets's calculate GCF of 767,7525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10680/1

Therefore the LCM of Fractions 24/767,1335/7525 is 10680

Greatest Common Factor of 767,7525 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,7525 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 7525

List of positive integer factors of 7525 that divides 7525 without a remainder.

1,5,7,25,35,43,175,215,301,1075,1505,7525

Greatest Common Factor

We found the factors 767,7525 . The biggest common factor number is the GCF number.
So the greatest common factor 767,7525 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/767, 1335/7525

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 24/767, 1335/7525?

Answer: LCM of Numerators as per given numbers 24/767, 1335/7525 is

LCM of Numerators i.e. for 24,1335 is 10680

GCF of denominators i.e. for 767,7525 is 1.

Thus, LCM of Fractions is 10680.Finally, LCM of Fractions for 24/767, 1335/7525 is 10680.