Least Common Multiple of 889/86, 523/30, 339/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 889/86, 523/30, 339/284 quickly i.e. 157617033/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/86, 523/30, 339/284 is 157617033/2.

LCM(889/86, 523/30, 339/284) = 157617033/2

LCM of 889/86, 523/30, 339/284

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 889/86,523/30,339/284

Given numbers are 889/86,523/30,339/284

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 889,523,339

Least Common Multiple of Numerators i.e. LCM of 889,523,339 is 157617033.

GCF of Denominators means GCF of 86,30,284 as per the given fractions.

GCF of 86,30,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,523,339

LCM of Fractions 889/86,523/30,339/284 is 157617033/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 157617033

Least Common Multiple of 889,523,339 with GCF Formula

Least Common Multiple of 889,523,339 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 889,523,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,523,339) = 1

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

GCF(889,523,339) x common factors =1 x 1 = 1

LCM(889,523,339) = ( 889 × 523 × 339 ) / 1

LCM(889,523,339) = 157617033 / 1

LCM(889,523,339) = 157617033


Lets's calculate GCF of 86,30,284

2 86, 30, 284
43, 15, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157617033/2

Therefore the LCM of Fractions 889/86,523/30,339/284 is 157617033/2

Greatest Common Factor of 86,30,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,30,284 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 86,30,284 . The biggest common factor number is the GCF number.
So the greatest common factor 86,30,284 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 889/86, 523/30, 339/284

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 889/86, 523/30, 339/284?

Answer: LCM of Numerators as per given numbers 889/86, 523/30, 339/284 is

LCM of Numerators i.e. for 889,523,339 is 157617033

GCF of denominators i.e. for 86,30,284 is 2.

Thus, LCM of Fractions is 157617033/2.Finally, LCM of Fractions for 889/86, 523/30, 339/284 is 157617033/2.