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LCM of 408, 752, 106, 515, 532

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


Find the LCM of 408, 752, 106, 515, 532 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 408, 752, 106, 515, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,752,106,515,532

Given numbers are 408,752,106,515,532

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

The LCM of 408,752,106,515,532 is 139226772720.

Find LCM of 408,752,106,515,532 with Prime Factorization


2 408, 752, 106, 515, 532
2 204, 376, 53, 515, 266
2 102, 188, 53, 515, 133
51, 94, 53, 515, 133

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

2 x 2 x 2 x 51 x 94 x 53 x 515 x 133 = 139226772720

Therefore, the lowest common multiple of 408,752,106,515,532 is 139226772720.

LCM Formula to Find Lowest Common Multiple of 408,752,106,515,532

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.

408 x 752 x 106 x 515 x 532 = 8910513454080

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

106 : 1, 2, 53, 106

515 : 1, 5, 103, 515

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,752,106,515,532, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

752:2x 2x 2x 2x 47

106:2x 53

515:5x 103

532:2x 2x 7x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 8910513454080/(1x64)

LCM = 8910513454080/64

LCM = 139226772720

Thus, we can understand that the LCM of 408,752,106,515,532 is 139226772720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 752, 106, 515, 532

1. What is the LCM of 408, 752, 106, 515, 532?

Answer: LCM of 408, 752, 106, 515, 532 is 139226772720.

2. How to calculate the LCM of 408, 752, 106, 515, 532?

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 408, 752, 106, 515, 532.

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}.