Least Common Multiple of 783/784, 927/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/784, 927/240 quickly i.e. 80649/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/784, 927/240 is 80649/16.

LCM(783/784, 927/240) = 80649/16

LCM of 783/784, 927/240

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 783/784,927/240

Given numbers are 783/784,927/240

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 783,927

Least Common Multiple of Numerators i.e. LCM of 783,927 is 80649.

GCF of Denominators means GCF of 784,240 as per the given fractions.

GCF of 784,240 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,927

LCM of Fractions 783/784,927/240 is 80649/16

3 783, 927
3 261, 309
87, 103

∴ So the LCM of the given numbers is 3 x 3 x 87 x 103 = 80649

Least Common Multiple of 783,927 with GCF Formula

Least Common Multiple of 783,927 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 783,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,927) = 9

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

GCF(783,927) x common factors =9 x 1 = 9

LCM(783,927) = ( 783 × 927 ) / 9

LCM(783,927) = 725841 / 9

LCM(783,927) = 80649


Lets's calculate GCF of 784,240

2 784, 240
2 392, 120
2 196, 60
2 98, 30
49, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80649/16

Therefore the LCM of Fractions 783/784,927/240 is 80649/16

Greatest Common Factor of 784,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,240 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

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 784,240 . The biggest common factor number is the GCF number.
So the greatest common factor 784,240 is 16.


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 783/784, 927/240

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 783/784, 927/240?

Answer: LCM of Numerators as per given numbers 783/784, 927/240 is

LCM of Numerators i.e. for 783,927 is 80649

GCF of denominators i.e. for 784,240 is 16.

Thus, LCM of Fractions is 80649/16.Finally, LCM of Fractions for 783/784, 927/240 is 80649/16.