Given numbers are 432,660,536,916

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

The LCM of 432,660,536,916 is 364549680.

Find LCM of 432,660,536,916 with Prime Factorization

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

2 x 2 x 2 x 3 x 18 x 55 x 67 x 229 = 364549680

Therefore, the lowest common multiple of 432,660,536,916 is 364549680.

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.

432 x 660 x 536 x 916 = 139987077120

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

536 : 1, 2, 4, 8, 67, 134, 268, 536

916 : 1, 2, 4, 229, 458, 916

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,660,536,916, is 4.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

660:2x 2x 3x 5x 11

536:2x 2x 2x 67

916:2x 2x 229

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 3 = 96

Therefore, the value for common factors is 96.

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 = 139987077120/(4x96)

LCM = 139987077120/384

LCM = 364549680

Thus, we can understand that the LCM of 432,660,536,916 is 364549680.

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

• LCM of 598, 587, 853, 120
• LCM of 825, 946, 265, 150
• LCM of 635, 240, 657, 822
• LCM of 172, 304, 521, 671
• LCM of 798, 699, 388, 528

1. What is the LCM of 432, 660, 536, 916?

Answer: LCM of 432, 660, 536, 916 is 364549680.

2. How to calculate the LCM of 432, 660, 536, 916?

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 432, 660, 536, 916.

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}.