Given numbers are 460,578,458,509

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

The LCM of 460,578,458,509 is 15495619340.

Find LCM of 460,578,458,509 with Prime Factorization

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

2 x 230 x 289 x 229 x 509 = 15495619340

Therefore, the lowest common multiple of 460,578,458,509 is 15495619340.

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.

460 x 578 x 458 x 509 = 61982477360

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

458 : 1, 2, 229, 458

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,578,458,509, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

578:2x 17x 17

458:2x 229

509:509

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61982477360/(1x4)

LCM = 61982477360/4

LCM = 15495619340

Thus, we can understand that the LCM of 460,578,458,509 is 15495619340.

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

• LCM of 466, 356, 792, 597
• LCM of 324, 771, 189, 212
• LCM of 994, 689, 391, 421
• LCM of 691, 382, 196, 367
• LCM of 404, 383, 178, 523

1. What is the LCM of 460, 578, 458, 509?

Answer: LCM of 460, 578, 458, 509 is 15495619340.

2. How to calculate the LCM of 460, 578, 458, 509?

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 460, 578, 458, 509.

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}.