Given numbers are 936,532,636,440,312

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

The LCM of 936,532,636,440,312 is 362882520.

Find LCM of 936,532,636,440,312 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 133 x 53 x 55 x 3 = 362882520

Therefore, the lowest common multiple of 936,532,636,440,312 is 362882520.

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.

936 x 532 x 636 x 440 x 312 = 43476228956160

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,532,636,440,312, is 4.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

532:2x 2x 7x 19

636:2x 2x 3x 53

440:2x 2x 2x 5x 11

312:2x 2x 2x 3x 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 2x 2x 2x 2x 2x 2x 2x 3x 3x 13 = 29952

Therefore, the value for common factors is 29952.

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 = 43476228956160/(4x29952)

LCM = 43476228956160/119808

LCM = 362882520

Thus, we can understand that the LCM of 936,532,636,440,312 is 362882520.

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

• LCM of 842, 971, 975, 190, 530
• LCM of 903, 502, 466, 737, 981
• LCM of 258, 552, 794, 818, 649
• LCM of 520, 882, 418, 228, 321
• LCM of 475, 853, 302, 194, 284

1. What is the LCM of 936, 532, 636, 440, 312?

Answer: LCM of 936, 532, 636, 440, 312 is 362882520.

2. How to calculate the LCM of 936, 532, 636, 440, 312?

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 936, 532, 636, 440, 312.

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}.