Given numbers are 412,80,407,107

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

The LCM of 412,80,407,107 is 358843760.

Find LCM of 412,80,407,107 with Prime Factorization

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

2 x 2 x 103 x 20 x 407 x 107 = 358843760

Therefore, the lowest common multiple of 412,80,407,107 is 358843760.

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.

412 x 80 x 407 x 107 = 1435375040

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.

412 : 1, 2, 4, 103, 206, 412

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

407 : 1, 11, 37, 407

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,80,407,107, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

80:2x 2x 2x 2x 5

407:11x 37

107:107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1435375040/(1x4)

LCM = 1435375040/4

LCM = 358843760

Thus, we can understand that the LCM of 412,80,407,107 is 358843760.

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

• LCM of 918, 35, 560, 301
• LCM of 996, 13, 973, 195
• LCM of 933, 72, 571, 298
• LCM of 821, 68, 434, 337
• LCM of 115, 21, 364, 198

1. What is the LCM of 412, 80, 407, 107?

Answer: LCM of 412, 80, 407, 107 is 358843760.

2. How to calculate the LCM of 412, 80, 407, 107?

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 412, 80, 407, 107.

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}.