Least Common Multiple of 682/65, 426/1014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/65, 426/1014 quickly i.e. 145266/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/65, 426/1014 is 145266/13.

LCM(682/65, 426/1014) = 145266/13

LCM of 682/65, 426/1014

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 682/65,426/1014

Given numbers are 682/65,426/1014

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 682,426

Least Common Multiple of Numerators i.e. LCM of 682,426 is 145266.

GCF of Denominators means GCF of 65,1014 as per the given fractions.

GCF of 65,1014 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,426

LCM of Fractions 682/65,426/1014 is 145266/13

2 682, 426
341, 213

∴ So the LCM of the given numbers is 2 x 341 x 213 = 145266

Least Common Multiple of 682,426 with GCF Formula

Least Common Multiple of 682,426 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 682,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,426) = 2

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

GCF(682,426) x common factors =2 x 1 = 2

LCM(682,426) = ( 682 × 426 ) / 2

LCM(682,426) = 290532 / 2

LCM(682,426) = 145266


Lets's calculate GCF of 65,1014

13 65, 1014
5, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145266/13

Therefore the LCM of Fractions 682/65,426/1014 is 145266/13

Greatest Common Factor of 65,1014 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,1014 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Greatest Common Factor

We found the factors 65,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 65,1014 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 682/65, 426/1014

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 682/65, 426/1014?

Answer: LCM of Numerators as per given numbers 682/65, 426/1014 is

LCM of Numerators i.e. for 682,426 is 145266

GCF of denominators i.e. for 65,1014 is 13.

Thus, LCM of Fractions is 145266/13.Finally, LCM of Fractions for 682/65, 426/1014 is 145266/13.