Given numbers are 960,324,403,504,553

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

The LCM of 960,324,403,504,553 is 5776505280.

Find LCM of 960,324,403,504,553 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 40 x 9 x 403 x 1 x 79 = 5776505280

Therefore, the lowest common multiple of 960,324,403,504,553 is 5776505280.

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.

960 x 324 x 403 x 504 x 553 = 34936303933440

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

403 : 1, 13, 31, 403

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,324,403,504,553, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

324:2x 2x 3x 3x 3x 3

403:13x 31

504:2x 2x 2x 3x 3x 7

553:7x 79

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 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 34936303933440/(1x6048)

LCM = 34936303933440/6048

LCM = 5776505280

Thus, we can understand that the LCM of 960,324,403,504,553 is 5776505280.

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

• LCM of 117, 227, 418, 581, 496
• LCM of 456, 304, 177, 303, 521
• LCM of 168, 186, 264, 535, 833
• LCM of 424, 108, 891, 107, 308
• LCM of 184, 562, 259, 585, 814

1. What is the LCM of 960, 324, 403, 504, 553?

Answer: LCM of 960, 324, 403, 504, 553 is 5776505280.

2. How to calculate the LCM of 960, 324, 403, 504, 553?

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 960, 324, 403, 504, 553.

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}.