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LCM of 336, 201, 955, 494, 212

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


Find the LCM of 336, 201, 955, 494, 212 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 336, 201, 955, 494, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 336,201,955,494,212

Given numbers are 336,201,955,494,212

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

The LCM of 336,201,955,494,212 is 281442885360.

Find LCM of 336,201,955,494,212 with Prime Factorization


2 336, 201, 955, 494, 212
2 168, 201, 955, 247, 106
3 84, 201, 955, 247, 53
28, 67, 955, 247, 53

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

2 x 2 x 3 x 28 x 67 x 955 x 247 x 53 = 281442885360

Therefore, the lowest common multiple of 336,201,955,494,212 is 281442885360.

LCM Formula to Find Lowest Common Multiple of 336,201,955,494,212

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.

336 x 201 x 955 x 494 x 212 = 6754629248640

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

201 : 1, 3, 67, 201

955 : 1, 5, 191, 955

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,201,955,494,212, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

201:3x 67

955:5x 191

494:2x 13x 19

212:2x 2x 53

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6754629248640/(1x24)

LCM = 6754629248640/24

LCM = 281442885360

Thus, we can understand that the LCM of 336,201,955,494,212 is 281442885360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 336, 201, 955, 494, 212

1. What is the LCM of 336, 201, 955, 494, 212?

Answer: LCM of 336, 201, 955, 494, 212 is 281442885360.

2. How to calculate the LCM of 336, 201, 955, 494, 212?

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 336, 201, 955, 494, 212.

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}.