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LCM of 201, 561, 448, 368, 972

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


Find the LCM of 201, 561, 448, 368, 972 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 201, 561, 448, 368, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,561,448,368,972

Given numbers are 201,561,448,368,972

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

The LCM of 201,561,448,368,972 is 31371012288.

Find LCM of 201,561,448,368,972 with Prime Factorization


2 201, 561, 448, 368, 972
2 201, 561, 224, 184, 486
2 201, 561, 112, 92, 243
2 201, 561, 56, 46, 243
3 201, 561, 28, 23, 243
67, 187, 28, 23, 81

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

2 x 2 x 2 x 2 x 3 x 67 x 187 x 28 x 23 x 81 = 31371012288

Therefore, the lowest common multiple of 201,561,448,368,972 is 31371012288.

LCM Formula to Find Lowest Common Multiple of 201,561,448,368,972

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.

201 x 561 x 448 x 368 x 972 = 18069703077888

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.

201 : 1, 3, 67, 201

561 : 1, 3, 11, 17, 33, 51, 187, 561

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,561,448,368,972, is 1.

Now, the common factors can be found like this.

201:3x 67

561:3x 11x 17

448:2x 2x 2x 2x 2x 2x 7

368:2x 2x 2x 2x 23

972:2x 2x 3x 3x 3x 3x 3

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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 18069703077888/(1x576)

LCM = 18069703077888/576

LCM = 31371012288

Thus, we can understand that the LCM of 201,561,448,368,972 is 31371012288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 561, 448, 368, 972

1. What is the LCM of 201, 561, 448, 368, 972?

Answer: LCM of 201, 561, 448, 368, 972 is 31371012288.

2. How to calculate the LCM of 201, 561, 448, 368, 972?

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 201, 561, 448, 368, 972.

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}.