Least Common Multiple of 830/78, 284/3588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/78, 284/3588 quickly i.e. 117860/78 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/78, 284/3588 is 117860/78.

LCM(830/78, 284/3588) = 117860/78

LCM of 830/78, 284/3588

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 830/78,284/3588

Given numbers are 830/78,284/3588

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 830,284

Least Common Multiple of Numerators i.e. LCM of 830,284 is 117860.

GCF of Denominators means GCF of 78,3588 as per the given fractions.

GCF of 78,3588 is 78 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,284

LCM of Fractions 830/78,284/3588 is 117860/78

2 830, 284
415, 142

∴ So the LCM of the given numbers is 2 x 415 x 142 = 117860

Least Common Multiple of 830,284 with GCF Formula

Least Common Multiple of 830,284 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 830,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,284) = 2

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

GCF(830,284) x common factors =2 x 1 = 2

LCM(830,284) = ( 830 × 284 ) / 2

LCM(830,284) = 235720 / 2

LCM(830,284) = 117860


Lets's calculate GCF of 78,3588

2 78, 3588
3 39, 1794
13 13, 598
1, 46

∴ So the GCF of the given numbers is 2 x 3 x 13 = 78

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117860/78

Therefore the LCM of Fractions 830/78,284/3588 is 117860/78

Greatest Common Factor of 78,3588 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,3588 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Greatest Common Factor

We found the factors 78,3588 . The biggest common factor number is the GCF number.
So the greatest common factor 78,3588 is 78.


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 830/78, 284/3588

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 830/78, 284/3588?

Answer: LCM of Numerators as per given numbers 830/78, 284/3588 is

LCM of Numerators i.e. for 830,284 is 117860

GCF of denominators i.e. for 78,3588 is 78.

Thus, LCM of Fractions is 117860/78.Finally, LCM of Fractions for 830/78, 284/3588 is 117860/78.