Given numbers are 582,293,361,372,460

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

The LCM of 582,293,361,372,460 is 438921987180.

Find LCM of 582,293,361,372,460 with Prime Factorization

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

2 x 2 x 3 x 97 x 293 x 361 x 31 x 115 = 438921987180

Therefore, the lowest common multiple of 582,293,361,372,460 is 438921987180.

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.

582 x 293 x 361 x 372 x 460 = 10534127692320

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

293 : 1, 293

361 : 1, 19, 361

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,293,361,372,460, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

293:293

361:19x 19

372:2x 2x 3x 31

460:2x 2x 5x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 10534127692320/(1x24)

LCM = 10534127692320/24

LCM = 438921987180

Thus, we can understand that the LCM of 582,293,361,372,460 is 438921987180.

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

• LCM of 978, 383, 822, 763, 565
• LCM of 208, 359, 399, 303, 286
• LCM of 928, 467, 550, 234, 849
• LCM of 346, 676, 360, 637, 500
• LCM of 122, 793, 854, 520, 551

1. What is the LCM of 582, 293, 361, 372, 460?

Answer: LCM of 582, 293, 361, 372, 460 is 438921987180.

2. How to calculate the LCM of 582, 293, 361, 372, 460?

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 582, 293, 361, 372, 460.

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}.