Given numbers are 392,417,125,864,974

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

The LCM of 392,417,125,864,974 is 358231356000.

Find LCM of 392,417,125,864,974 with Prime Factorization

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

2 x 2 x 2 x 3 x 49 x 139 x 125 x 36 x 487 = 358231356000

Therefore, the lowest common multiple of 392,417,125,864,974 is 358231356000.

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.

392 x 417 x 125 x 864 x 974 = 17195105088000

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

417 : 1, 3, 139, 417

125 : 1, 5, 25, 125

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,417,125,864,974, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

417:3x 139

125:5x 5x 5

864:2x 2x 2x 2x 2x 3x 3x 3

974:2x 487

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 3 = 48

Therefore, the value for common factors is 48.

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 = 17195105088000/(1x48)

LCM = 17195105088000/48

LCM = 358231356000

Thus, we can understand that the LCM of 392,417,125,864,974 is 358231356000.

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

• LCM of 460, 494, 518, 433, 330
• LCM of 288, 987, 322, 216, 298
• LCM of 767, 370, 515, 775, 618
• LCM of 701, 720, 360, 255, 120
• LCM of 135, 921, 888, 214, 821

1. What is the LCM of 392, 417, 125, 864, 974?

Answer: LCM of 392, 417, 125, 864, 974 is 358231356000.

2. How to calculate the LCM of 392, 417, 125, 864, 974?

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 392, 417, 125, 864, 974.

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}.