Given numbers are 407,212,249,366

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

The LCM of 407,212,249,366 is 1310567676.

Find LCM of 407,212,249,366 with Prime Factorization

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

2 x 3 x 407 x 106 x 83 x 61 = 1310567676

Therefore, the lowest common multiple of 407,212,249,366 is 1310567676.

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.

407 x 212 x 249 x 366 = 7863406056

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.

407 : 1, 11, 37, 407

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

249 : 1, 3, 83, 249

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,212,249,366, is 1.

Now, the common factors can be found like this.

407:11x 37

212:2x 2x 53

249:3x 83

366:2x 3x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7863406056/(1x6)

LCM = 7863406056/6

LCM = 1310567676

Thus, we can understand that the LCM of 407,212,249,366 is 1310567676.

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

• LCM of 843, 425, 578, 705
• LCM of 820, 878, 546, 864
• LCM of 148, 568, 728, 826
• LCM of 192, 802, 364, 212
• LCM of 617, 505, 513, 274

1. What is the LCM of 407, 212, 249, 366?

Answer: LCM of 407, 212, 249, 366 is 1310567676.

2. How to calculate the LCM of 407, 212, 249, 366?

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 407, 212, 249, 366.

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}.