Least Common Multiple of 87/830, 230/104, 289/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/830, 230/104, 289/686 quickly i.e. 2891445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/830, 230/104, 289/686 is 2891445.

LCM(87/830, 230/104, 289/686) = 2891445

LCM of 87/830, 230/104, 289/686

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 87/830,230/104,289/686

Given numbers are 87/830,230/104,289/686

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 87,230,289

Least Common Multiple of Numerators i.e. LCM of 87,230,289 is 5782890.

GCF of Denominators means GCF of 830,104,686 as per the given fractions.

GCF of 830,104,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,230,289

LCM of Fractions 87/830,230/104,289/686 is 2891445

Given numbers has no common factors except 1. So, there LCM is their product i.e 5782890

Least Common Multiple of 87,230,289 with GCF Formula

Least Common Multiple of 87,230,289 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 87,230,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,230,289) = 1

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

GCF(87,230,289) x common factors =1 x 1 = 1

LCM(87,230,289) = ( 87 × 230 × 289 ) / 1

LCM(87,230,289) = 5782890 / 1

LCM(87,230,289) = 5782890


Lets's calculate GCF of 830,104,686

2 830, 104, 686
415, 52, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5782890/2

Therefore the LCM of Fractions 87/830,230/104,289/686 is 2891445

Greatest Common Factor of 830,104,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,104,686 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 830,104,686 . The biggest common factor number is the GCF number.
So the greatest common factor 830,104,686 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 87/830, 230/104, 289/686

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 87/830, 230/104, 289/686?

Answer: LCM of Numerators as per given numbers 87/830, 230/104, 289/686 is

LCM of Numerators i.e. for 87,230,289 is 5782890

GCF of denominators i.e. for 830,104,686 is 2.

Thus, LCM of Fractions is 2891445.Finally, LCM of Fractions for 87/830, 230/104, 289/686 is 2891445.