Least Common Multiple of 605/80, 826/1414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/80, 826/1414 quickly i.e. 249865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/80, 826/1414 is 249865.

LCM(605/80, 826/1414) = 249865

LCM of 605/80, 826/1414

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 605/80,826/1414

Given numbers are 605/80,826/1414

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 605,826

Least Common Multiple of Numerators i.e. LCM of 605,826 is 499730.

GCF of Denominators means GCF of 80,1414 as per the given fractions.

GCF of 80,1414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,826

LCM of Fractions 605/80,826/1414 is 249865

Given numbers has no common factors except 1. So, there LCM is their product i.e 499730

Least Common Multiple of 605,826 with GCF Formula

Least Common Multiple of 605,826 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 605,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,826) = 1

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

GCF(605,826) x common factors =1 x 1 = 1

LCM(605,826) = ( 605 × 826 ) / 1

LCM(605,826) = 499730 / 1

LCM(605,826) = 499730


Lets's calculate GCF of 80,1414

2 80, 1414
40, 707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499730/2

Therefore the LCM of Fractions 605/80,826/1414 is 249865

Greatest Common Factor of 80,1414 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,1414 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1,2,7,14,101,202,707,1414

Greatest Common Factor

We found the factors 80,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 80,1414 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 605/80, 826/1414

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 605/80, 826/1414?

Answer: LCM of Numerators as per given numbers 605/80, 826/1414 is

LCM of Numerators i.e. for 605,826 is 499730

GCF of denominators i.e. for 80,1414 is 2.

Thus, LCM of Fractions is 249865.Finally, LCM of Fractions for 605/80, 826/1414 is 249865.