Least Common Multiple of 104/18, 107/46, 546/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 104/18, 107/46, 546/461 quickly i.e. 233688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 104/18, 107/46, 546/461 is 233688.

LCM(104/18, 107/46, 546/461) = 233688

LCM of 104/18, 107/46, 546/461

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 104/18,107/46,546/461

Given numbers are 104/18,107/46,546/461

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 104,107,546

Least Common Multiple of Numerators i.e. LCM of 104,107,546 is 233688.

GCF of Denominators means GCF of 18,46,461 as per the given fractions.

GCF of 18,46,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 104,107,546

LCM of Fractions 104/18,107/46,546/461 is 233688

2 104, 107, 546
13 52, 107, 273
4, 107, 21

∴ So the LCM of the given numbers is 2 x 13 x 4 x 107 x 21 = 233688

Least Common Multiple of 104,107,546 with GCF Formula

Least Common Multiple of 104,107,546 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 104,107,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,107,546) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(104,107,546) x common factors =1 x 26 = 26

LCM(104,107,546) = ( 104 × 107 × 546 ) / 26

LCM(104,107,546) = 6075888 / 26

LCM(104,107,546) = 233688


Lets's calculate GCF of 18,46,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233688/1

Therefore the LCM of Fractions 104/18,107/46,546/461 is 233688

Greatest Common Factor of 18,46,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,46,461 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 46

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

1,2,23,46

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 18,46,461 . The biggest common factor number is the GCF number.
So the greatest common factor 18,46,461 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 104/18, 107/46, 546/461

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 104/18, 107/46, 546/461?

Answer: LCM of Numerators as per given numbers 104/18, 107/46, 546/461 is

LCM of Numerators i.e. for 104,107,546 is 233688

GCF of denominators i.e. for 18,46,461 is 1.

Thus, LCM of Fractions is 233688.Finally, LCM of Fractions for 104/18, 107/46, 546/461 is 233688.