Given numbers are 816,715,837,851,390

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

The LCM of 816,715,837,851,390 is 138525575760.

Find LCM of 816,715,837,851,390 with Prime Factorization

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

2 x 3 x 5 x 13 x 136 x 11 x 279 x 851 x 1 = 138525575760

Therefore, the lowest common multiple of 816,715,837,851,390 is 138525575760.

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.

816 x 715 x 837 x 851 x 390 = 162074923639200

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.

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

837 : 1, 3, 9, 27, 31, 93, 279, 837

851 : 1, 23, 37, 851

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,715,837,851,390, is 1.

Now, the common factors can be found like this.

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

715:5x 11x 13

837:3x 3x 3x 31

851:23x 37

390:2x 3x 5x 13

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 3x 5x 13 = 1170

Therefore, the value for common factors is 1170.

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 = 162074923639200/(1x1170)

LCM = 162074923639200/1170

LCM = 138525575760

Thus, we can understand that the LCM of 816,715,837,851,390 is 138525575760.

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

• LCM of 279, 388, 145, 134, 830
• LCM of 682, 428, 753, 777, 951
• LCM of 960, 726, 443, 932, 439
• LCM of 386, 945, 635, 617, 883
• LCM of 550, 334, 803, 314, 526

1. What is the LCM of 816, 715, 837, 851, 390?

Answer: LCM of 816, 715, 837, 851, 390 is 138525575760.

2. How to calculate the LCM of 816, 715, 837, 851, 390?

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 816, 715, 837, 851, 390.

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}.