Given numbers are 715,207,460,728

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

The LCM of 715,207,460,728 is 8288280.

Find LCM of 715,207,460,728 with Prime Factorization

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

2 x 2 x 5 x 13 x 23 x 11 x 9 x 1 x 14 = 8288280

Therefore, the lowest common multiple of 715,207,460,728 is 8288280.

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 207 x 460 x 728 = 49563914400

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

207 : 1, 3, 9, 23, 69, 207

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,207,460,728, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

207:3x 3x 23

460:2x 2x 5x 23

728:2x 2x 2x 7x 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 5x 13x 23 = 5980

Therefore, the value for common factors is 5980.

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 = 49563914400/(1x5980)

LCM = 49563914400/5980

LCM = 8288280

Thus, we can understand that the LCM of 715,207,460,728 is 8288280.

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

• LCM of 271, 406, 556, 776
• LCM of 462, 179, 227, 856
• LCM of 623, 748, 824, 928
• LCM of 439, 780, 100, 747
• LCM of 851, 879, 880, 911

1. What is the LCM of 715, 207, 460, 728?

Answer: LCM of 715, 207, 460, 728 is 8288280.

2. How to calculate the LCM of 715, 207, 460, 728?

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, 207, 460, 728.

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}.