Given numbers are 513,814,310,528,969

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

The LCM of 513,814,310,528,969 is 8802628560.

Find LCM of 513,814,310,528,969 with Prime Factorization

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

2 x 3 x 11 x 19 x 9 x 37 x 155 x 8 x 17 = 8802628560

Therefore, the lowest common multiple of 513,814,310,528,969 is 8802628560.

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.

513 x 814 x 310 x 528 x 969 = 66230977285440

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

814 : 1, 2, 11, 22, 37, 74, 407, 814

310 : 1, 2, 5, 10, 31, 62, 155, 310

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,814,310,528,969, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

814:2x 11x 37

310:2x 5x 31

528:2x 2x 2x 2x 3x 11

969:3x 17x 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 3x 3x 11x 19 = 7524

Therefore, the value for common factors is 7524.

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 = 66230977285440/(1x7524)

LCM = 66230977285440/7524

LCM = 8802628560

Thus, we can understand that the LCM of 513,814,310,528,969 is 8802628560.

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

• LCM of 176, 795, 393, 571, 837
• LCM of 968, 210, 636, 895, 929
• LCM of 646, 904, 617, 556, 116
• LCM of 101, 638, 685, 369, 155
• LCM of 400, 859, 343, 785, 249

1. What is the LCM of 513, 814, 310, 528, 969?

Answer: LCM of 513, 814, 310, 528, 969 is 8802628560.

2. How to calculate the LCM of 513, 814, 310, 528, 969?

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 513, 814, 310, 528, 969.

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}.