Least Common Multiple of 346/16, 641/85, 459/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/16, 641/85, 459/721 quickly i.e. 101799774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/16, 641/85, 459/721 is 101799774.

LCM(346/16, 641/85, 459/721) = 101799774

LCM of 346/16, 641/85, 459/721

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 346/16,641/85,459/721

Given numbers are 346/16,641/85,459/721

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 346,641,459

Least Common Multiple of Numerators i.e. LCM of 346,641,459 is 101799774.

GCF of Denominators means GCF of 16,85,721 as per the given fractions.

GCF of 16,85,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,641,459

LCM of Fractions 346/16,641/85,459/721 is 101799774

Given numbers has no common factors except 1. So, there LCM is their product i.e 101799774

Least Common Multiple of 346,641,459 with GCF Formula

Least Common Multiple of 346,641,459 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 346,641,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,641,459) = 1

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

GCF(346,641,459) x common factors =1 x 1 = 1

LCM(346,641,459) = ( 346 × 641 × 459 ) / 1

LCM(346,641,459) = 101799774 / 1

LCM(346,641,459) = 101799774


Lets's calculate GCF of 16,85,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101799774/1

Therefore the LCM of Fractions 346/16,641/85,459/721 is 101799774

Greatest Common Factor of 16,85,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,85,721 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 721

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

1,7,103,721

Greatest Common Factor

We found the factors 16,85,721 . The biggest common factor number is the GCF number.
So the greatest common factor 16,85,721 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 346/16, 641/85, 459/721

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 346/16, 641/85, 459/721?

Answer: LCM of Numerators as per given numbers 346/16, 641/85, 459/721 is

LCM of Numerators i.e. for 346,641,459 is 101799774

GCF of denominators i.e. for 16,85,721 is 1.

Thus, LCM of Fractions is 101799774.Finally, LCM of Fractions for 346/16, 641/85, 459/721 is 101799774.