Given numbers are 764,900,578,715

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

The LCM of 764,900,578,715 is 7104111300.

Find LCM of 764,900,578,715 with Prime Factorization

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

2 x 2 x 5 x 191 x 45 x 289 x 143 = 7104111300

Therefore, the lowest common multiple of 764,900,578,715 is 7104111300.

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.

764 x 900 x 578 x 715 = 284164452000

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.

764 : 1, 2, 4, 191, 382, 764

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

578 : 1, 2, 17, 34, 289, 578

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,900,578,715, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

900:2x 2x 3x 3x 5x 5

578:2x 17x 17

715:5x 11x 13

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 5 = 40

Therefore, the value for common factors is 40.

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 = 284164452000/(1x40)

LCM = 284164452000/40

LCM = 7104111300

Thus, we can understand that the LCM of 764,900,578,715 is 7104111300.

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

• LCM of 863, 418, 436, 471
• LCM of 472, 798, 407, 191
• LCM of 914, 909, 879, 609
• LCM of 768, 966, 812, 542
• LCM of 675, 917, 261, 105

1. What is the LCM of 764, 900, 578, 715?

Answer: LCM of 764, 900, 578, 715 is 7104111300.

2. How to calculate the LCM of 764, 900, 578, 715?

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 764, 900, 578, 715.

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}.