Given numbers are 238,810,610,573,264

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

The LCM of 238,810,610,573,264 is 49413755160.

Find LCM of 238,810,610,573,264 with Prime Factorization

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

2 x 3 x 5 x 119 x 27 x 61 x 191 x 44 = 49413755160

Therefore, the lowest common multiple of 238,810,610,573,264 is 49413755160.

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.

238 x 810 x 610 x 573 x 264 = 17788951857600

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

610 : 1, 2, 5, 10, 61, 122, 305, 610

573 : 1, 3, 191, 573

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,810,610,573,264, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

810:2x 3x 3x 3x 3x 5

610:2x 5x 61

573:3x 191

264:2x 2x 2x 3x 11

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 5 = 360

Therefore, the value for common factors is 360.

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 = 17788951857600/(1x360)

LCM = 17788951857600/360

LCM = 49413755160

Thus, we can understand that the LCM of 238,810,610,573,264 is 49413755160.

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

• LCM of 467, 461, 105, 442, 113
• LCM of 729, 997, 577, 888, 789
• LCM of 794, 594, 304, 340, 163
• LCM of 981, 711, 936, 234, 456
• LCM of 768, 352, 674, 407, 331

1. What is the LCM of 238, 810, 610, 573, 264?

Answer: LCM of 238, 810, 610, 573, 264 is 49413755160.

2. How to calculate the LCM of 238, 810, 610, 573, 264?

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 238, 810, 610, 573, 264.

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}.