Least Common Multiple of 904/582, 788/834, 780/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/582, 788/834, 780/712 quickly i.e. 17363580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/582, 788/834, 780/712 is 17363580.

LCM(904/582, 788/834, 780/712) = 17363580

LCM of 904/582, 788/834, 780/712

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 904/582,788/834,780/712

Given numbers are 904/582,788/834,780/712

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 904,788,780

Least Common Multiple of Numerators i.e. LCM of 904,788,780 is 34727160.

GCF of Denominators means GCF of 582,834,712 as per the given fractions.

GCF of 582,834,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,788,780

LCM of Fractions 904/582,788/834,780/712 is 17363580

2 904, 788, 780
2 452, 394, 390
226, 197, 195

∴ So the LCM of the given numbers is 2 x 2 x 226 x 197 x 195 = 34727160

Least Common Multiple of 904,788,780 with GCF Formula

Least Common Multiple of 904,788,780 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 904,788,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,788,780) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(904,788,780) x common factors =4 x 4 = 16

LCM(904,788,780) = ( 904 × 788 × 780 ) / 16

LCM(904,788,780) = 555634560 / 16

LCM(904,788,780) = 34727160


Lets's calculate GCF of 582,834,712

2 582, 834, 712
291, 417, 356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34727160/2

Therefore the LCM of Fractions 904/582,788/834,780/712 is 17363580

Greatest Common Factor of 582,834,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,834,712 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 582,834,712 . The biggest common factor number is the GCF number.
So the greatest common factor 582,834,712 is 2.


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 904/582, 788/834, 780/712

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 904/582, 788/834, 780/712?

Answer: LCM of Numerators as per given numbers 904/582, 788/834, 780/712 is

LCM of Numerators i.e. for 904,788,780 is 34727160

GCF of denominators i.e. for 582,834,712 is 2.

Thus, LCM of Fractions is 17363580.Finally, LCM of Fractions for 904/582, 788/834, 780/712 is 17363580.