Given numbers are 364,208,646,680

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

The LCM of 364,208,646,680 is 2351440.

Find LCM of 364,208,646,680 with Prime Factorization

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

2 x 2 x 2 x 13 x 17 x 7 x 2 x 19 x 5 = 2351440

Therefore, the lowest common multiple of 364,208,646,680 is 2351440.

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.

364 x 208 x 646 x 680 = 33258767360

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,208,646,680, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

208:2x 2x 2x 2x 13

646:2x 17x 19

680:2x 2x 2x 5x 17

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 13x 17 = 7072

Therefore, the value for common factors is 7072.

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 = 33258767360/(2x7072)

LCM = 33258767360/14144

LCM = 2351440

Thus, we can understand that the LCM of 364,208,646,680 is 2351440.

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

• LCM of 411, 179, 157, 441
• LCM of 264, 731, 461, 380
• LCM of 759, 116, 906, 702
• LCM of 445, 421, 133, 470
• LCM of 227, 971, 111, 400

1. What is the LCM of 364, 208, 646, 680?

Answer: LCM of 364, 208, 646, 680 is 2351440.

2. How to calculate the LCM of 364, 208, 646, 680?

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 364, 208, 646, 680.

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}.