Given numbers are 395,528,281,517,235

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

The LCM of 395,528,281,517,235 is 2754451920.

Find LCM of 395,528,281,517,235 with Prime Factorization

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

5 x 11 x 47 x 79 x 48 x 281 x 1 x 1 = 2754451920

Therefore, the lowest common multiple of 395,528,281,517,235 is 2754451920.

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.

395 x 528 x 281 x 517 x 235 = 7120258213200

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.

395 : 1, 5, 79, 395

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

281 : 1, 281

517 : 1, 11, 47, 517

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,528,281,517,235, is 1.

Now, the common factors can be found like this.

395:5x 79

528:2x 2x 2x 2x 3x 11

281:281

517:11x 47

235:5x 47

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

5x 11x 47 = 2585

Therefore, the value for common factors is 2585.

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 = 7120258213200/(1x2585)

LCM = 7120258213200/2585

LCM = 2754451920

Thus, we can understand that the LCM of 395,528,281,517,235 is 2754451920.

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

• LCM of 227, 322, 182, 607, 766
• LCM of 555, 840, 819, 589, 150
• LCM of 107, 650, 785, 242, 247
• LCM of 825, 405, 129, 283, 349
• LCM of 592, 357, 197, 160, 487

1. What is the LCM of 395, 528, 281, 517, 235?

Answer: LCM of 395, 528, 281, 517, 235 is 2754451920.

2. How to calculate the LCM of 395, 528, 281, 517, 235?

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 395, 528, 281, 517, 235.

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}.