Given numbers are 424,408,524,356,358

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

The LCM of 424,408,524,356,358 is 45128444664.

Find LCM of 424,408,524,356,358 with Prime Factorization

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

2 x 2 x 2 x 53 x 51 x 131 x 89 x 179 = 45128444664

Therefore, the lowest common multiple of 424,408,524,356,358 is 45128444664.

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.

424 x 408 x 524 x 356 x 358 = 11552881833984

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

524 : 1, 2, 4, 131, 262, 524

356 : 1, 2, 4, 89, 178, 356

358 : 1, 2, 179, 358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,408,524,356,358, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

408:2x 2x 2x 3x 17

524:2x 2x 131

356:2x 2x 89

358:2x 179

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 11552881833984/(2x128)

LCM = 11552881833984/256

LCM = 45128444664

Thus, we can understand that the LCM of 424,408,524,356,358 is 45128444664.

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

• LCM of 353, 598, 541, 215, 836
• LCM of 914, 359, 350, 148, 729
• LCM of 998, 953, 183, 991, 237
• LCM of 955, 647, 225, 361, 321
• LCM of 513, 843, 186, 916, 951

1. What is the LCM of 424, 408, 524, 356, 358?

Answer: LCM of 424, 408, 524, 356, 358 is 45128444664.

2. How to calculate the LCM of 424, 408, 524, 356, 358?

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 424, 408, 524, 356, 358.

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}.