Least Common Multiple of 24/264, 1781/6270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/264, 1781/6270 quickly i.e. 42744/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/264, 1781/6270 is 42744/66.

LCM(24/264, 1781/6270) = 42744/66

LCM of 24/264, 1781/6270

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 24/264,1781/6270

Given numbers are 24/264,1781/6270

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 24,1781

Least Common Multiple of Numerators i.e. LCM of 24,1781 is 42744.

GCF of Denominators means GCF of 264,6270 as per the given fractions.

GCF of 264,6270 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,1781

LCM of Fractions 24/264,1781/6270 is 42744/66

Given numbers has no common factors except 1. So, there LCM is their product i.e 42744

Least Common Multiple of 24,1781 with GCF Formula

Least Common Multiple of 24,1781 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 24,1781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1781) = 1

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

GCF(24,1781) x common factors =1 x 1 = 1

LCM(24,1781) = ( 24 × 1781 ) / 1

LCM(24,1781) = 42744 / 1

LCM(24,1781) = 42744


Lets's calculate GCF of 264,6270

2 264, 6270
3 132, 3135
11 44, 1045
4, 95

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42744/66

Therefore the LCM of Fractions 24/264,1781/6270 is 42744/66

Greatest Common Factor of 264,6270 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,6270 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Greatest Common Factor

We found the factors 264,6270 . The biggest common factor number is the GCF number.
So the greatest common factor 264,6270 is 66.


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 24/264, 1781/6270

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 24/264, 1781/6270?

Answer: LCM of Numerators as per given numbers 24/264, 1781/6270 is

LCM of Numerators i.e. for 24,1781 is 42744

GCF of denominators i.e. for 264,6270 is 66.

Thus, LCM of Fractions is 42744/66.Finally, LCM of Fractions for 24/264, 1781/6270 is 42744/66.