Least Common Multiple of 3486/364, 1728/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3486/364, 1728/195 quickly i.e. 1003968/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3486/364, 1728/195 is 1003968/13.

LCM(3486/364, 1728/195) = 1003968/13

LCM of 3486/364, 1728/195

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 3486/364,1728/195

Given numbers are 3486/364,1728/195

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 3486,1728

Least Common Multiple of Numerators i.e. LCM of 3486,1728 is 1003968.

GCF of Denominators means GCF of 364,195 as per the given fractions.

GCF of 364,195 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3486,1728

LCM of Fractions 3486/364,1728/195 is 1003968/13

2 3486, 1728
3 1743, 864
581, 288

∴ So the LCM of the given numbers is 2 x 3 x 581 x 288 = 1003968

Least Common Multiple of 3486,1728 with GCF Formula

Least Common Multiple of 3486,1728 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 3486,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3486,1728) = 6

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

GCF(3486,1728) x common factors =6 x 1 = 6

LCM(3486,1728) = ( 3486 × 1728 ) / 6

LCM(3486,1728) = 6023808 / 6

LCM(3486,1728) = 1003968


Lets's calculate GCF of 364,195

13 364, 195
28, 15

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003968/13

Therefore the LCM of Fractions 3486/364,1728/195 is 1003968/13

Greatest Common Factor of 364,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,195 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 364,195 . The biggest common factor number is the GCF number.
So the greatest common factor 364,195 is 13.


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 3486/364, 1728/195

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 3486/364, 1728/195?

Answer: LCM of Numerators as per given numbers 3486/364, 1728/195 is

LCM of Numerators i.e. for 3486,1728 is 1003968

GCF of denominators i.e. for 364,195 is 13.

Thus, LCM of Fractions is 1003968/13.Finally, LCM of Fractions for 3486/364, 1728/195 is 1003968/13.