Least Common Multiple of 708/86, 289/3821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/86, 289/3821 quickly i.e. 204612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/86, 289/3821 is 204612.

LCM(708/86, 289/3821) = 204612

LCM of 708/86, 289/3821

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 708/86,289/3821

Given numbers are 708/86,289/3821

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 708,289

Least Common Multiple of Numerators i.e. LCM of 708,289 is 204612.

GCF of Denominators means GCF of 86,3821 as per the given fractions.

GCF of 86,3821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,289

LCM of Fractions 708/86,289/3821 is 204612

Given numbers has no common factors except 1. So, there LCM is their product i.e 204612

Least Common Multiple of 708,289 with GCF Formula

Least Common Multiple of 708,289 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 708,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,289) = 1

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

GCF(708,289) x common factors =1 x 1 = 1

LCM(708,289) = ( 708 × 289 ) / 1

LCM(708,289) = 204612 / 1

LCM(708,289) = 204612


Lets's calculate GCF of 86,3821

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204612/1

Therefore the LCM of Fractions 708/86,289/3821 is 204612

Greatest Common Factor of 86,3821 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,3821 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 3821

List of positive integer factors of 3821 that divides 3821 without a remainder.

1,3821

Greatest Common Factor

We found the factors 86,3821 . The biggest common factor number is the GCF number.
So the greatest common factor 86,3821 is 1.


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 708/86, 289/3821

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 708/86, 289/3821?

Answer: LCM of Numerators as per given numbers 708/86, 289/3821 is

LCM of Numerators i.e. for 708,289 is 204612

GCF of denominators i.e. for 86,3821 is 1.

Thus, LCM of Fractions is 204612.Finally, LCM of Fractions for 708/86, 289/3821 is 204612.