Given numbers are 408,328,107,393,725

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

The LCM of 408,328,107,393,725 is 169995372600.

Find LCM of 408,328,107,393,725 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 41 x 107 x 131 x 725 = 169995372600

Therefore, the lowest common multiple of 408,328,107,393,725 is 169995372600.

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.

408 x 328 x 107 x 393 x 725 = 4079888942400

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.

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

107 : 1, 107

393 : 1, 3, 131, 393

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,328,107,393,725, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

328:2x 2x 2x 41

107:107

393:3x 131

725:5x 5x 29

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 = 4079888942400/(1x24)

LCM = 4079888942400/24

LCM = 169995372600

Thus, we can understand that the LCM of 408,328,107,393,725 is 169995372600.

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

• LCM of 311, 877, 765, 360, 556
• LCM of 273, 630, 604, 676, 895
• LCM of 256, 689, 649, 428, 407
• LCM of 785, 663, 584, 863, 782
• LCM of 947, 397, 981, 867, 718

1. What is the LCM of 408, 328, 107, 393, 725?

Answer: LCM of 408, 328, 107, 393, 725 is 169995372600.

2. How to calculate the LCM of 408, 328, 107, 393, 725?

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 408, 328, 107, 393, 725.

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}.