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LCM of 212, 207, 322, 138, 395

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 212, 207, 322, 138, 395 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 212, 207, 322, 138, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,207,322,138,395

Given numbers are 212,207,322,138,395

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 212,207,322,138,395 is 121339260.

Find LCM of 212,207,322,138,395 with Prime Factorization


2 212, 207, 322, 138, 395
3 106, 207, 161, 69, 395
23 106, 23, 161, 69, 395
106, 1, 7, 3, 395

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 23 x 106 x 1 x 7 x 3 x 395 = 121339260

Therefore, the lowest common multiple of 212,207,322,138,395 is 121339260.

LCM Formula to Find Lowest Common Multiple of 212,207,322,138,395

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

212 x 207 x 322 x 138 x 395 = 770261622480

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

212 : 1, 2, 4, 53, 106, 212

207 : 1, 3, 9, 23, 69, 207

322 : 1, 2, 7, 14, 23, 46, 161, 322

138 : 1, 2, 3, 6, 23, 46, 69, 138

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,207,322,138,395, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

207:3x 3x 23

322:2x 7x 23

138:2x 3x 23

395:5x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 23x 23 = 6348

Therefore, the value for common factors is 6348.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 770261622480/(1x6348)

LCM = 770261622480/6348

LCM = 121339260

Thus, we can understand that the LCM of 212,207,322,138,395 is 121339260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 207, 322, 138, 395

1. What is the LCM of 212, 207, 322, 138, 395?

Answer: LCM of 212, 207, 322, 138, 395 is 121339260.

2. How to calculate the LCM of 212, 207, 322, 138, 395?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 212, 207, 322, 138, 395.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.