Given numbers are 514,104,132,444,964

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

The LCM of 514,104,132,444,964 is 7865008008.

Find LCM of 514,104,132,444,964 with Prime Factorization

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

2 x 2 x 3 x 257 x 26 x 11 x 37 x 241 = 7865008008

Therefore, the lowest common multiple of 514,104,132,444,964 is 7865008008.

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.

514 x 104 x 132 x 444 x 964 = 3020163075072

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.

514 : 1, 2, 257, 514

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,104,132,444,964, is 2.

Now, the common factors can be found like this.

514:2x 257

104:2x 2x 2x 13

132:2x 2x 3x 11

444:2x 2x 3x 37

964:2x 2x 241

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 3020163075072/(2x192)

LCM = 3020163075072/384

LCM = 7865008008

Thus, we can understand that the LCM of 514,104,132,444,964 is 7865008008.

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

• LCM of 467, 866, 797, 625, 605
• LCM of 737, 309, 478, 758, 611
• LCM of 562, 454, 915, 997, 467
• LCM of 153, 419, 341, 380, 239
• LCM of 949, 651, 142, 822, 279

1. What is the LCM of 514, 104, 132, 444, 964?

Answer: LCM of 514, 104, 132, 444, 964 is 7865008008.

2. How to calculate the LCM of 514, 104, 132, 444, 964?

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 514, 104, 132, 444, 964.

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}.