Given numbers are 458,518,210,578,872

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

The LCM of 458,518,210,578,872 is 224202697320.

Find LCM of 458,518,210,578,872 with Prime Factorization

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

2 x 7 x 229 x 37 x 15 x 289 x 436 = 224202697320

Therefore, the lowest common multiple of 458,518,210,578,872 is 224202697320.

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.

458 x 518 x 210 x 578 x 872 = 25110702099840

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.

458 : 1, 2, 229, 458

518 : 1, 2, 7, 14, 37, 74, 259, 518

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

578 : 1, 2, 17, 34, 289, 578

872 : 1, 2, 4, 8, 109, 218, 436, 872

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,518,210,578,872, is 2.

Now, the common factors can be found like this.

458:2x 229

518:2x 7x 37

210:2x 3x 5x 7

578:2x 17x 17

872:2x 2x 2x 109

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 7 = 56

Therefore, the value for common factors is 56.

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 = 25110702099840/(2x56)

LCM = 25110702099840/112

LCM = 224202697320

Thus, we can understand that the LCM of 458,518,210,578,872 is 224202697320.

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

• LCM of 861, 340, 759, 200, 878
• LCM of 682, 511, 935, 838, 272
• LCM of 510, 107, 230, 849, 452
• LCM of 732, 923, 609, 168, 948
• LCM of 178, 884, 176, 214, 318

1. What is the LCM of 458, 518, 210, 578, 872?

Answer: LCM of 458, 518, 210, 578, 872 is 224202697320.

2. How to calculate the LCM of 458, 518, 210, 578, 872?

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 458, 518, 210, 578, 872.

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}.