Given numbers are 646,440,438,214

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

The LCM of 646,440,438,214 is 3330297960.

Find LCM of 646,440,438,214 with Prime Factorization

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

2 x 323 x 220 x 219 x 107 = 3330297960

Therefore, the lowest common multiple of 646,440,438,214 is 3330297960.

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.

646 x 440 x 438 x 214 = 26642383680

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

438 : 1, 2, 3, 6, 73, 146, 219, 438

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,440,438,214, is 2.

Now, the common factors can be found like this.

646:2x 17x 19

440:2x 2x 2x 5x 11

438:2x 3x 73

214:2x 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 = 26642383680/(2x4)

LCM = 26642383680/8

LCM = 3330297960

Thus, we can understand that the LCM of 646,440,438,214 is 3330297960.

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

• LCM of 938, 557, 229, 141
• LCM of 294, 819, 563, 687
• LCM of 431, 803, 744, 337
• LCM of 574, 975, 402, 908
• LCM of 910, 136, 879, 693

1. What is the LCM of 646, 440, 438, 214?

Answer: LCM of 646, 440, 438, 214 is 3330297960.

2. How to calculate the LCM of 646, 440, 438, 214?

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 646, 440, 438, 214.

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}.