Given numbers are 437,936,133,560,264

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

The LCM of 437,936,133,560,264 is 314954640.

Find LCM of 437,936,133,560,264 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 19 x 23 x 39 x 1 x 10 x 11 = 314954640

Therefore, the lowest common multiple of 437,936,133,560,264 is 314954640.

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.

437 x 936 x 133 x 560 x 264 = 8042681687040

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.

437 : 1, 19, 23, 437

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

133 : 1, 7, 19, 133

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,936,133,560,264, is 1.

Now, the common factors can be found like this.

437:19x 23

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

133:7x 19

560:2x 2x 2x 2x 5x 7

264:2x 2x 2x 3x 11

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 7x 19 = 25536

Therefore, the value for common factors is 25536.

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 = 8042681687040/(1x25536)

LCM = 8042681687040/25536

LCM = 314954640

Thus, we can understand that the LCM of 437,936,133,560,264 is 314954640.

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

• LCM of 769, 950, 243, 188, 604
• LCM of 414, 410, 689, 390, 309
• LCM of 151, 142, 370, 293, 842
• LCM of 101, 763, 372, 981, 104
• LCM of 846, 628, 314, 899, 416

1. What is the LCM of 437, 936, 133, 560, 264?

Answer: LCM of 437, 936, 133, 560, 264 is 314954640.

2. How to calculate the LCM of 437, 936, 133, 560, 264?

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 437, 936, 133, 560, 264.

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}.