Given numbers are 506,464,292,582,928

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

The LCM of 506,464,292,582,928 is 4987516512.

Find LCM of 506,464,292,582,928 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 253 x 1 x 73 x 291 x 2 = 4987516512

Therefore, the lowest common multiple of 506,464,292,582,928 is 4987516512.

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.

506 x 464 x 292 x 582 x 928 = 37027322585088

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

292 : 1, 2, 4, 73, 146, 292

582 : 1, 2, 3, 6, 97, 194, 291, 582

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,464,292,582,928, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

464:2x 2x 2x 2x 29

292:2x 2x 73

582:2x 3x 97

928:2x 2x 2x 2x 2x 29

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 29 = 3712

Therefore, the value for common factors is 3712.

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 = 37027322585088/(2x3712)

LCM = 37027322585088/7424

LCM = 4987516512

Thus, we can understand that the LCM of 506,464,292,582,928 is 4987516512.

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

• LCM of 402, 946, 573, 881, 312
• LCM of 904, 183, 167, 627, 716
• LCM of 954, 751, 634, 794, 713
• LCM of 515, 920, 646, 967, 311
• LCM of 965, 777, 971, 792, 881

1. What is the LCM of 506, 464, 292, 582, 928?

Answer: LCM of 506, 464, 292, 582, 928 is 4987516512.

2. How to calculate the LCM of 506, 464, 292, 582, 928?

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 506, 464, 292, 582, 928.

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}.