Least Common Multiple of 51/721, 3589/8164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/721, 3589/8164 quickly i.e. 183039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/721, 3589/8164 is 183039.

LCM(51/721, 3589/8164) = 183039

LCM of 51/721, 3589/8164

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 51/721,3589/8164

Given numbers are 51/721,3589/8164

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 51,3589

Least Common Multiple of Numerators i.e. LCM of 51,3589 is 183039.

GCF of Denominators means GCF of 721,8164 as per the given fractions.

GCF of 721,8164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,3589

LCM of Fractions 51/721,3589/8164 is 183039

Given numbers has no common factors except 1. So, there LCM is their product i.e 183039

Least Common Multiple of 51,3589 with GCF Formula

Least Common Multiple of 51,3589 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 51,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,3589) = 1

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

GCF(51,3589) x common factors =1 x 1 = 1

LCM(51,3589) = ( 51 × 3589 ) / 1

LCM(51,3589) = 183039 / 1

LCM(51,3589) = 183039


Lets's calculate GCF of 721,8164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183039/1

Therefore the LCM of Fractions 51/721,3589/8164 is 183039

Greatest Common Factor of 721,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,8164 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors 721,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 721,8164 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 51/721, 3589/8164

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 51/721, 3589/8164?

Answer: LCM of Numerators as per given numbers 51/721, 3589/8164 is

LCM of Numerators i.e. for 51,3589 is 183039

GCF of denominators i.e. for 721,8164 is 1.

Thus, LCM of Fractions is 183039.Finally, LCM of Fractions for 51/721, 3589/8164 is 183039.