Given numbers are 128,358,238,546,413

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

The LCM of 128,358,238,546,413 is 6273740928.

Find LCM of 128,358,238,546,413 with Prime Factorization

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

2 x 7 x 64 x 179 x 17 x 39 x 59 = 6273740928

Therefore, the lowest common multiple of 128,358,238,546,413 is 6273740928.

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.

128 x 358 x 238 x 546 x 413 = 2459306443776

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

358 : 1, 2, 179, 358

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,358,238,546,413, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

358:2x 179

238:2x 7x 17

546:2x 3x 7x 13

413:7x 59

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 2459306443776/(1x392)

LCM = 2459306443776/392

LCM = 6273740928

Thus, we can understand that the LCM of 128,358,238,546,413 is 6273740928.

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

• LCM of 463, 264, 450, 215, 341
• LCM of 821, 486, 513, 924, 591
• LCM of 182, 496, 333, 499, 902
• LCM of 362, 496, 894, 587, 425
• LCM of 542, 942, 627, 360, 901

1. What is the LCM of 128, 358, 238, 546, 413?

Answer: LCM of 128, 358, 238, 546, 413 is 6273740928.

2. How to calculate the LCM of 128, 358, 238, 546, 413?

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 128, 358, 238, 546, 413.

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}.