Least Common Multiple of 354/17, 696/3293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/17, 696/3293 quickly i.e. 41064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/17, 696/3293 is 41064.

LCM(354/17, 696/3293) = 41064

LCM of 354/17, 696/3293

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 354/17,696/3293

Given numbers are 354/17,696/3293

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 354,696

Least Common Multiple of Numerators i.e. LCM of 354,696 is 41064.

GCF of Denominators means GCF of 17,3293 as per the given fractions.

GCF of 17,3293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,696

LCM of Fractions 354/17,696/3293 is 41064

2 354, 696
3 177, 348
59, 116

∴ So the LCM of the given numbers is 2 x 3 x 59 x 116 = 41064

Least Common Multiple of 354,696 with GCF Formula

Least Common Multiple of 354,696 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 354,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,696) = 6

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

GCF(354,696) x common factors =6 x 1 = 6

LCM(354,696) = ( 354 × 696 ) / 6

LCM(354,696) = 246384 / 6

LCM(354,696) = 41064


Lets's calculate GCF of 17,3293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41064/1

Therefore the LCM of Fractions 354/17,696/3293 is 41064

Greatest Common Factor of 17,3293 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,3293 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 3293

List of positive integer factors of 3293 that divides 3293 without a remainder.

1,37,89,3293

Greatest Common Factor

We found the factors 17,3293 . The biggest common factor number is the GCF number.
So the greatest common factor 17,3293 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 354/17, 696/3293

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 354/17, 696/3293?

Answer: LCM of Numerators as per given numbers 354/17, 696/3293 is

LCM of Numerators i.e. for 354,696 is 41064

GCF of denominators i.e. for 17,3293 is 1.

Thus, LCM of Fractions is 41064.Finally, LCM of Fractions for 354/17, 696/3293 is 41064.