Least Common Multiple of 84/520, 412/694, 388/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/520, 412/694, 388/122 quickly i.e. 419622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/520, 412/694, 388/122 is 419622.

LCM(84/520, 412/694, 388/122) = 419622

LCM of 84/520, 412/694, 388/122

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 84/520,412/694,388/122

Given numbers are 84/520,412/694,388/122

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 84,412,388

Least Common Multiple of Numerators i.e. LCM of 84,412,388 is 839244.

GCF of Denominators means GCF of 520,694,122 as per the given fractions.

GCF of 520,694,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,412,388

LCM of Fractions 84/520,412/694,388/122 is 419622

2 84, 412, 388
2 42, 206, 194
21, 103, 97

∴ So the LCM of the given numbers is 2 x 2 x 21 x 103 x 97 = 839244

Least Common Multiple of 84,412,388 with GCF Formula

Least Common Multiple of 84,412,388 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 84,412,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,412,388) = 4

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

GCF(84,412,388) x common factors =4 x 4 = 16

LCM(84,412,388) = ( 84 × 412 × 388 ) / 16

LCM(84,412,388) = 13427904 / 16

LCM(84,412,388) = 839244


Lets's calculate GCF of 520,694,122

2 520, 694, 122
260, 347, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 839244/2

Therefore the LCM of Fractions 84/520,412/694,388/122 is 419622

Greatest Common Factor of 520,694,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,694,122 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 520,694,122 . The biggest common factor number is the GCF number.
So the greatest common factor 520,694,122 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 84/520, 412/694, 388/122

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 84/520, 412/694, 388/122?

Answer: LCM of Numerators as per given numbers 84/520, 412/694, 388/122 is

LCM of Numerators i.e. for 84,412,388 is 839244

GCF of denominators i.e. for 520,694,122 is 2.

Thus, LCM of Fractions is 419622.Finally, LCM of Fractions for 84/520, 412/694, 388/122 is 419622.