Given numbers are 748,952,717,216,460

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

The LCM of 748,952,717,216,460 is 7771218840.

Find LCM of 748,952,717,216,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 11 x 7 x 239 x 9 x 115 = 7771218840

Therefore, the lowest common multiple of 748,952,717,216,460 is 7771218840.

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.

748 x 952 x 717 x 216 x 460 = 50730516587520

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

717 : 1, 3, 239, 717

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,952,717,216,460, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

952:2x 2x 2x 7x 17

717:3x 239

216:2x 2x 2x 3x 3x 3

460:2x 2x 5x 23

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 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 50730516587520/(1x6528)

LCM = 50730516587520/6528

LCM = 7771218840

Thus, we can understand that the LCM of 748,952,717,216,460 is 7771218840.

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

• LCM of 179, 347, 986, 468, 916
• LCM of 828, 114, 465, 975, 295
• LCM of 493, 426, 104, 660, 704
• LCM of 304, 140, 875, 540, 117
• LCM of 452, 993, 882, 488, 588

1. What is the LCM of 748, 952, 717, 216, 460?

Answer: LCM of 748, 952, 717, 216, 460 is 7771218840.

2. How to calculate the LCM of 748, 952, 717, 216, 460?

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 748, 952, 717, 216, 460.

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}.