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LCM of 396, 122, 201, 671

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


Find the LCM of 396, 122, 201, 671 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 396, 122, 201, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,122,201,671

Given numbers are 396,122,201,671

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

The LCM of 396,122,201,671 is 1618452.

Find LCM of 396,122,201,671 with Prime Factorization


2 396, 122, 201, 671
3 198, 61, 201, 671
11 66, 61, 67, 671
61 6, 61, 67, 61
6, 1, 67, 1

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

2 x 3 x 11 x 61 x 6 x 1 x 67 x 1 = 1618452

Therefore, the lowest common multiple of 396,122,201,671 is 1618452.

LCM Formula to Find Lowest Common Multiple of 396,122,201,671

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.

396 x 122 x 201 x 671 = 6515887752

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.

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

122 : 1, 2, 61, 122

201 : 1, 3, 67, 201

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,122,201,671, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

122:2x 61

201:3x 67

671:11x 61

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

2x 3x 11x 61 = 4026

Therefore, the value for common factors is 4026.

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 = 6515887752/(1x4026)

LCM = 6515887752/4026

LCM = 1618452

Thus, we can understand that the LCM of 396,122,201,671 is 1618452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 122, 201, 671

1. What is the LCM of 396, 122, 201, 671?

Answer: LCM of 396, 122, 201, 671 is 1618452.

2. How to calculate the LCM of 396, 122, 201, 671?

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 396, 122, 201, 671.

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}.