Given numbers are 264,253,598,636,553

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

The LCM of 264,253,598,636,553 is 2313535224.

Find LCM of 264,253,598,636,553 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 2 x 1 x 13 x 53 x 553 = 2313535224

Therefore, the lowest common multiple of 264,253,598,636,553 is 2313535224.

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 253 x 598 x 636 x 553 = 14047785880128

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

253 : 1, 11, 23, 253

598 : 1, 2, 13, 23, 26, 46, 299, 598

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,253,598,636,553, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

253:11x 23

598:2x 13x 23

636:2x 2x 3x 53

553:7x 79

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 11x 23 = 6072

Therefore, the value for common factors is 6072.

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 = 14047785880128/(1x6072)

LCM = 14047785880128/6072

LCM = 2313535224

Thus, we can understand that the LCM of 264,253,598,636,553 is 2313535224.

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

• LCM of 692, 202, 172, 444, 804
• LCM of 414, 877, 762, 323, 244
• LCM of 108, 987, 530, 216, 787
• LCM of 114, 469, 150, 131, 655
• LCM of 230, 162, 238, 155, 111

1. What is the LCM of 264, 253, 598, 636, 553?

Answer: LCM of 264, 253, 598, 636, 553 is 2313535224.

2. How to calculate the LCM of 264, 253, 598, 636, 553?

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, 253, 598, 636, 553.

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}.