Least Common Multiple of 3065/682, 5353/9206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3065/682, 5353/9206 quickly i.e. 16406945/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3065/682, 5353/9206 is 16406945/2.

LCM(3065/682, 5353/9206) = 16406945/2

LCM of 3065/682, 5353/9206

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 3065/682,5353/9206

Given numbers are 3065/682,5353/9206

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 3065,5353

Least Common Multiple of Numerators i.e. LCM of 3065,5353 is 16406945.

GCF of Denominators means GCF of 682,9206 as per the given fractions.

GCF of 682,9206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3065,5353

LCM of Fractions 3065/682,5353/9206 is 16406945/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 16406945

Least Common Multiple of 3065,5353 with GCF Formula

Least Common Multiple of 3065,5353 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 3065,5353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3065,5353) = 1

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

GCF(3065,5353) x common factors =1 x 1 = 1

LCM(3065,5353) = ( 3065 × 5353 ) / 1

LCM(3065,5353) = 16406945 / 1

LCM(3065,5353) = 16406945


Lets's calculate GCF of 682,9206

2 682, 9206
341, 4603

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16406945/2

Therefore the LCM of Fractions 3065/682,5353/9206 is 16406945/2

Greatest Common Factor of 682,9206 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,9206 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 9206

List of positive integer factors of 9206 that divides 9206 without a remainder.

1,2,4603,9206

Greatest Common Factor

We found the factors 682,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 682,9206 is 2.


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 3065/682, 5353/9206

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 3065/682, 5353/9206?

Answer: LCM of Numerators as per given numbers 3065/682, 5353/9206 is

LCM of Numerators i.e. for 3065,5353 is 16406945

GCF of denominators i.e. for 682,9206 is 2.

Thus, LCM of Fractions is 16406945/2.Finally, LCM of Fractions for 3065/682, 5353/9206 is 16406945/2.