Least Common Multiple of 212/682, 860/396, 619/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/682, 860/396, 619/826 quickly i.e. 14107010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/682, 860/396, 619/826 is 14107010.

LCM(212/682, 860/396, 619/826) = 14107010

LCM of 212/682, 860/396, 619/826

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 212/682,860/396,619/826

Given numbers are 212/682,860/396,619/826

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 212,860,619

Least Common Multiple of Numerators i.e. LCM of 212,860,619 is 28214020.

GCF of Denominators means GCF of 682,396,826 as per the given fractions.

GCF of 682,396,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,860,619

LCM of Fractions 212/682,860/396,619/826 is 14107010

2 212, 860, 619
2 106, 430, 619
53, 215, 619

∴ So the LCM of the given numbers is 2 x 2 x 53 x 215 x 619 = 28214020

Least Common Multiple of 212,860,619 with GCF Formula

Least Common Multiple of 212,860,619 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 212,860,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,860,619) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(212,860,619) x common factors =1 x 4 = 4

LCM(212,860,619) = ( 212 × 860 × 619 ) / 4

LCM(212,860,619) = 112856080 / 4

LCM(212,860,619) = 28214020


Lets's calculate GCF of 682,396,826

2 682, 396, 826
341, 198, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28214020/2

Therefore the LCM of Fractions 212/682,860/396,619/826 is 14107010

Greatest Common Factor of 682,396,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,396,826 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 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 682,396,826 . The biggest common factor number is the GCF number.
So the greatest common factor 682,396,826 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 212/682, 860/396, 619/826

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 212/682, 860/396, 619/826?

Answer: LCM of Numerators as per given numbers 212/682, 860/396, 619/826 is

LCM of Numerators i.e. for 212,860,619 is 28214020

GCF of denominators i.e. for 682,396,826 is 2.

Thus, LCM of Fractions is 14107010.Finally, LCM of Fractions for 212/682, 860/396, 619/826 is 14107010.