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LCM of 405, 160, 374, 874, 824

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


Find the LCM of 405, 160, 374, 874, 824 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 405, 160, 374, 874, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 405,160,374,874,824

Given numbers are 405,160,374,874,824

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

The LCM of 405,160,374,874,824 is 109085058720.

Find LCM of 405,160,374,874,824 with Prime Factorization


2 405, 160, 374, 874, 824
2 405, 80, 187, 437, 412
2 405, 40, 187, 437, 206
5 405, 20, 187, 437, 103
81, 4, 187, 437, 103

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

2 x 2 x 2 x 5 x 81 x 4 x 187 x 437 x 103 = 109085058720

Therefore, the lowest common multiple of 405,160,374,874,824 is 109085058720.

LCM Formula to Find Lowest Common Multiple of 405,160,374,874,824

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.

405 x 160 x 374 x 874 x 824 = 17453609395200

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

374 : 1, 2, 11, 17, 22, 34, 187, 374

874 : 1, 2, 19, 23, 38, 46, 437, 874

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,160,374,874,824, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

160:2x 2x 2x 2x 2x 5

374:2x 11x 17

874:2x 19x 23

824:2x 2x 2x 103

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 5 = 160

Therefore, the value for common factors is 160.

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 = 17453609395200/(1x160)

LCM = 17453609395200/160

LCM = 109085058720

Thus, we can understand that the LCM of 405,160,374,874,824 is 109085058720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 405, 160, 374, 874, 824

1. What is the LCM of 405, 160, 374, 874, 824?

Answer: LCM of 405, 160, 374, 874, 824 is 109085058720.

2. How to calculate the LCM of 405, 160, 374, 874, 824?

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 405, 160, 374, 874, 824.

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}.