Least Common Multiple of 420/682, 5212/2146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/682, 5212/2146 quickly i.e. 273630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/682, 5212/2146 is 273630.

LCM(420/682, 5212/2146) = 273630

LCM of 420/682, 5212/2146

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 420/682,5212/2146

Given numbers are 420/682,5212/2146

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 420,5212

Least Common Multiple of Numerators i.e. LCM of 420,5212 is 547260.

GCF of Denominators means GCF of 682,2146 as per the given fractions.

GCF of 682,2146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,5212

LCM of Fractions 420/682,5212/2146 is 273630

2 420, 5212
2 210, 2606
105, 1303

∴ So the LCM of the given numbers is 2 x 2 x 105 x 1303 = 547260

Least Common Multiple of 420,5212 with GCF Formula

Least Common Multiple of 420,5212 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 420,5212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,5212) = 4

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

GCF(420,5212) x common factors =4 x 1 = 4

LCM(420,5212) = ( 420 × 5212 ) / 4

LCM(420,5212) = 2189040 / 4

LCM(420,5212) = 547260


Lets's calculate GCF of 682,2146

2 682, 2146
341, 1073

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547260/2

Therefore the LCM of Fractions 420/682,5212/2146 is 273630

Greatest Common Factor of 682,2146 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,2146 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 2146

List of positive integer factors of 2146 that divides 2146 without a remainder.

1,2,29,37,58,74,1073,2146

Greatest Common Factor

We found the factors 682,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 682,2146 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 420/682, 5212/2146

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 420/682, 5212/2146?

Answer: LCM of Numerators as per given numbers 420/682, 5212/2146 is

LCM of Numerators i.e. for 420,5212 is 547260

GCF of denominators i.e. for 682,2146 is 2.

Thus, LCM of Fractions is 273630.Finally, LCM of Fractions for 420/682, 5212/2146 is 273630.