Given numbers are 272,990,964,506

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

The LCM of 272,990,964,506 is 746309520.

Find LCM of 272,990,964,506 with Prime Factorization

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

2 x 2 x 11 x 68 x 45 x 241 x 23 = 746309520

Therefore, the lowest common multiple of 272,990,964,506 is 746309520.

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.

272 x 990 x 964 x 506 = 131350475520

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

964 : 1, 2, 4, 241, 482, 964

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,990,964,506, is 2.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

990:2x 3x 3x 5x 11

964:2x 2x 241

506:2x 11x 23

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 11 = 88

Therefore, the value for common factors is 88.

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 = 131350475520/(2x88)

LCM = 131350475520/176

LCM = 746309520

Thus, we can understand that the LCM of 272,990,964,506 is 746309520.

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

• LCM of 467, 750, 453, 538
• LCM of 596, 545, 765, 298
• LCM of 332, 166, 167, 767
• LCM of 440, 186, 540, 632
• LCM of 855, 433, 802, 739

1. What is the LCM of 272, 990, 964, 506?

Answer: LCM of 272, 990, 964, 506 is 746309520.

2. How to calculate the LCM of 272, 990, 964, 506?

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 272, 990, 964, 506.

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}.