Least Common Multiple of 1660/81, 3486/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1660/81, 3486/344 quickly i.e. 34860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1660/81, 3486/344 is 34860.

LCM(1660/81, 3486/344) = 34860

LCM of 1660/81, 3486/344

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 1660/81,3486/344

Given numbers are 1660/81,3486/344

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 1660,3486

Least Common Multiple of Numerators i.e. LCM of 1660,3486 is 34860.

GCF of Denominators means GCF of 81,344 as per the given fractions.

GCF of 81,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1660,3486

LCM of Fractions 1660/81,3486/344 is 34860

2 1660, 3486
83 830, 1743
10, 21

∴ So the LCM of the given numbers is 2 x 83 x 10 x 21 = 34860

Least Common Multiple of 1660,3486 with GCF Formula

Least Common Multiple of 1660,3486 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 1660,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1660,3486) = 166

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

GCF(1660,3486) x common factors =166 x 1 = 166

LCM(1660,3486) = ( 1660 × 3486 ) / 166

LCM(1660,3486) = 5786760 / 166

LCM(1660,3486) = 34860


Lets's calculate GCF of 81,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34860/1

Therefore the LCM of Fractions 1660/81,3486/344 is 34860

Greatest Common Factor of 81,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,344 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 81,344 . The biggest common factor number is the GCF number.
So the greatest common factor 81,344 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 1660/81, 3486/344

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 1660/81, 3486/344?

Answer: LCM of Numerators as per given numbers 1660/81, 3486/344 is

LCM of Numerators i.e. for 1660,3486 is 34860

GCF of denominators i.e. for 81,344 is 1.

Thus, LCM of Fractions is 34860.Finally, LCM of Fractions for 1660/81, 3486/344 is 34860.