Given numbers are 312,520,167,528,763

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

The LCM of 312,520,167,528,763 is 4373088720.

Find LCM of 312,520,167,528,763 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 5 x 167 x 22 x 763 = 4373088720

Therefore, the lowest common multiple of 312,520,167,528,763 is 4373088720.

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.

312 x 520 x 167 x 528 x 763 = 10915229445120

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

167 : 1, 167

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

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,520,167,528,763, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

520:2x 2x 2x 5x 13

167:167

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

763:7x 109

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 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 10915229445120/(1x2496)

LCM = 10915229445120/2496

LCM = 4373088720

Thus, we can understand that the LCM of 312,520,167,528,763 is 4373088720.

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

• LCM of 255, 637, 313, 411, 975
• LCM of 510, 603, 471, 363, 961
• LCM of 185, 433, 216, 526, 258
• LCM of 245, 640, 717, 796, 645
• LCM of 290, 670, 468, 826, 452

1. What is the LCM of 312, 520, 167, 528, 763?

Answer: LCM of 312, 520, 167, 528, 763 is 4373088720.

2. How to calculate the LCM of 312, 520, 167, 528, 763?

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 312, 520, 167, 528, 763.

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}.