Given numbers are 461,882,766,704,988

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

The LCM of 461,882,766,704,988 is 13539664442304.

Find LCM of 461,882,766,704,988 with Prime Factorization

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

2 x 2 x 461 x 441 x 383 x 176 x 247 = 13539664442304

Therefore, the lowest common multiple of 461,882,766,704,988 is 13539664442304.

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.

461 x 882 x 766 x 704 x 988 = 216634631076864

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.

461 : 1, 461

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

766 : 1, 2, 383, 766

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,882,766,704,988, is 1.

Now, the common factors can be found like this.

461:461

882:2x 3x 3x 7x 7

766:2x 383

704:2x 2x 2x 2x 2x 2x 11

988:2x 2x 13x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 216634631076864/(1x16)

LCM = 216634631076864/16

LCM = 13539664442304

Thus, we can understand that the LCM of 461,882,766,704,988 is 13539664442304.

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

• LCM of 231, 875, 366, 404, 942
• LCM of 689, 373, 814, 600, 895
• LCM of 547, 679, 276, 407, 589
• LCM of 945, 550, 106, 968, 418
• LCM of 928, 416, 467, 288, 268

1. What is the LCM of 461, 882, 766, 704, 988?

Answer: LCM of 461, 882, 766, 704, 988 is 13539664442304.

2. How to calculate the LCM of 461, 882, 766, 704, 988?

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 461, 882, 766, 704, 988.

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}.