Least Common Multiple of 624/27, 781/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/27, 781/240 quickly i.e. 162448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/27, 781/240 is 162448.

LCM(624/27, 781/240) = 162448

LCM of 624/27, 781/240

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 624/27,781/240

Given numbers are 624/27,781/240

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 624,781

Least Common Multiple of Numerators i.e. LCM of 624,781 is 487344.

GCF of Denominators means GCF of 27,240 as per the given fractions.

GCF of 27,240 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,781

LCM of Fractions 624/27,781/240 is 162448

Given numbers has no common factors except 1. So, there LCM is their product i.e 487344

Least Common Multiple of 624,781 with GCF Formula

Least Common Multiple of 624,781 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 624,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,781) = 1

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

GCF(624,781) x common factors =1 x 1 = 1

LCM(624,781) = ( 624 × 781 ) / 1

LCM(624,781) = 487344 / 1

LCM(624,781) = 487344


Lets's calculate GCF of 27,240

3 27, 240
9, 80

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487344/3

Therefore the LCM of Fractions 624/27,781/240 is 162448

Greatest Common Factor of 27,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,240 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

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 27,240 . The biggest common factor number is the GCF number.
So the greatest common factor 27,240 is 3.


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 624/27, 781/240

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 624/27, 781/240?

Answer: LCM of Numerators as per given numbers 624/27, 781/240 is

LCM of Numerators i.e. for 624,781 is 487344

GCF of denominators i.e. for 27,240 is 3.

Thus, LCM of Fractions is 162448.Finally, LCM of Fractions for 624/27, 781/240 is 162448.