Least Common Multiple of 109/46, 821/96, 386/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/46, 821/96, 386/729 quickly i.e. 34542754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/46, 821/96, 386/729 is 34542754.

LCM(109/46, 821/96, 386/729) = 34542754

LCM of 109/46, 821/96, 386/729

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 109/46,821/96,386/729

Given numbers are 109/46,821/96,386/729

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 109,821,386

Least Common Multiple of Numerators i.e. LCM of 109,821,386 is 34542754.

GCF of Denominators means GCF of 46,96,729 as per the given fractions.

GCF of 46,96,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,821,386

LCM of Fractions 109/46,821/96,386/729 is 34542754

Given numbers has no common factors except 1. So, there LCM is their product i.e 34542754

Least Common Multiple of 109,821,386 with GCF Formula

Least Common Multiple of 109,821,386 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 109,821,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,821,386) = 1

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

GCF(109,821,386) x common factors =1 x 1 = 1

LCM(109,821,386) = ( 109 × 821 × 386 ) / 1

LCM(109,821,386) = 34542754 / 1

LCM(109,821,386) = 34542754


Lets's calculate GCF of 46,96,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34542754/1

Therefore the LCM of Fractions 109/46,821/96,386/729 is 34542754

Greatest Common Factor of 46,96,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,96,729 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 46,96,729 . The biggest common factor number is the GCF number.
So the greatest common factor 46,96,729 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 109/46, 821/96, 386/729

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 109/46, 821/96, 386/729?

Answer: LCM of Numerators as per given numbers 109/46, 821/96, 386/729 is

LCM of Numerators i.e. for 109,821,386 is 34542754

GCF of denominators i.e. for 46,96,729 is 1.

Thus, LCM of Fractions is 34542754.Finally, LCM of Fractions for 109/46, 821/96, 386/729 is 34542754.