Given numbers are 264,180,691,855,506

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

The LCM of 264,180,691,855,506 is 1195789320.

Find LCM of 264,180,691,855,506 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 2 x 1 x 691 x 19 x 23 = 1195789320

Therefore, the lowest common multiple of 264,180,691,855,506 is 1195789320.

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.

264 x 180 x 691 x 855 x 506 = 14205977121600

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

691 : 1, 691

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,180,691,855,506, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

180:2x 2x 3x 3x 5

691:691

855:3x 3x 5x 19

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 3x 3x 3x 5x 11 = 11880

Therefore, the value for common factors is 11880.

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 = 14205977121600/(1x11880)

LCM = 14205977121600/11880

LCM = 1195789320

Thus, we can understand that the LCM of 264,180,691,855,506 is 1195789320.

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

• LCM of 364, 429, 412, 599, 566
• LCM of 485, 308, 654, 247, 353
• LCM of 359, 428, 579, 186, 952
• LCM of 164, 964, 522, 262, 661
• LCM of 696, 109, 478, 692, 528

1. What is the LCM of 264, 180, 691, 855, 506?

Answer: LCM of 264, 180, 691, 855, 506 is 1195789320.

2. How to calculate the LCM of 264, 180, 691, 855, 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 264, 180, 691, 855, 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}.