Given numbers are 715,714,291,984

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

The LCM of 715,714,291,984 is 8121193080.

Find LCM of 715,714,291,984 with Prime Factorization

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

2 x 3 x 715 x 119 x 97 x 164 = 8121193080

Therefore, the lowest common multiple of 715,714,291,984 is 8121193080.

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.

715 x 714 x 291 x 984 = 146181475440

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

291 : 1, 3, 97, 291

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,714,291,984, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

714:2x 3x 7x 17

291:3x 97

984:2x 2x 2x 3x 41

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 146181475440/(1x18)

LCM = 146181475440/18

LCM = 8121193080

Thus, we can understand that the LCM of 715,714,291,984 is 8121193080.

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

• LCM of 311, 954, 487, 674
• LCM of 644, 678, 945, 970
• LCM of 158, 255, 252, 416
• LCM of 784, 225, 367, 324
• LCM of 413, 248, 890, 260

1. What is the LCM of 715, 714, 291, 984?

Answer: LCM of 715, 714, 291, 984 is 8121193080.

2. How to calculate the LCM of 715, 714, 291, 984?

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 715, 714, 291, 984.

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}.