Given numbers are 365,810,413,714,816

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

The LCM of 365,810,413,714,816 is 3321213840.

Find LCM of 365,810,413,714,816 with Prime Factorization

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

2 x 3 x 5 x 7 x 17 x 73 x 27 x 59 x 1 x 8 = 3321213840

Therefore, the lowest common multiple of 365,810,413,714,816 is 3321213840.

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.

365 x 810 x 413 x 714 x 816 = 71140400452800

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.

365 : 1, 5, 73, 365

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

413 : 1, 7, 59, 413

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,810,413,714,816, is 1.

Now, the common factors can be found like this.

365:5x 73

810:2x 3x 3x 3x 3x 5

413:7x 59

714:2x 3x 7x 17

816:2x 2x 2x 2x 3x 17

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 3x 3x 5x 7x 17 = 21420

Therefore, the value for common factors is 21420.

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 = 71140400452800/(1x21420)

LCM = 71140400452800/21420

LCM = 3321213840

Thus, we can understand that the LCM of 365,810,413,714,816 is 3321213840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 802, 470, 948, 835, 358
• LCM of 400, 556, 427, 672, 478
• LCM of 959, 875, 556, 199, 604
• LCM of 345, 754, 188, 524, 317
• LCM of 505, 989, 290, 220, 161

1. What is the LCM of 365, 810, 413, 714, 816?

Answer: LCM of 365, 810, 413, 714, 816 is 3321213840.

2. How to calculate the LCM of 365, 810, 413, 714, 816?

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 365, 810, 413, 714, 816.

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}.