Given numbers are 468,564,996,744,303

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

The LCM of 468,564,996,744,303 is 11432333016.

Find LCM of 468,564,996,744,303 with Prime Factorization

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

2 x 2 x 3 x 39 x 47 x 83 x 62 x 101 = 11432333016

Therefore, the lowest common multiple of 468,564,996,744,303 is 11432333016.

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.

468 x 564 x 996 x 744 x 303 = 59265214354944

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

303 : 1, 3, 101, 303

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,564,996,744,303, is 3.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

564:2x 2x 3x 47

996:2x 2x 3x 83

744:2x 2x 2x 3x 31

303:3x 101

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 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 59265214354944/(3x1728)

LCM = 59265214354944/5184

LCM = 11432333016

Thus, we can understand that the LCM of 468,564,996,744,303 is 11432333016.

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

• LCM of 355, 930, 352, 783, 105
• LCM of 654, 627, 564, 598, 547
• LCM of 604, 891, 563, 253, 369
• LCM of 607, 609, 447, 515, 300
• LCM of 755, 539, 449, 845, 163

1. What is the LCM of 468, 564, 996, 744, 303?

Answer: LCM of 468, 564, 996, 744, 303 is 11432333016.

2. How to calculate the LCM of 468, 564, 996, 744, 303?

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 468, 564, 996, 744, 303.

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}.