Given numbers are 417,630,742,504,974

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

The LCM of 417,630,742,504,974 is 9041077080.

Find LCM of 417,630,742,504,974 with Prime Factorization

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

2 x 3 x 3 x 7 x 139 x 5 x 53 x 4 x 487 = 9041077080

Therefore, the lowest common multiple of 417,630,742,504,974 is 9041077080.

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.

417 x 630 x 742 x 504 x 974 = 95690759814720

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.

417 : 1, 3, 139, 417

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

742 : 1, 2, 7, 14, 53, 106, 371, 742

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,630,742,504,974, is 1.

Now, the common factors can be found like this.

417:3x 139

630:2x 3x 3x 5x 7

742:2x 7x 53

504:2x 2x 2x 3x 3x 7

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 3x 3x 3x 7x 7 = 10584

Therefore, the value for common factors is 10584.

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 = 95690759814720/(1x10584)

LCM = 95690759814720/10584

LCM = 9041077080

Thus, we can understand that the LCM of 417,630,742,504,974 is 9041077080.

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

• LCM of 842, 400, 862, 721, 968
• LCM of 687, 631, 231, 725, 473
• LCM of 503, 202, 752, 484, 305
• LCM of 767, 548, 862, 651, 449
• LCM of 333, 280, 521, 803, 669

1. What is the LCM of 417, 630, 742, 504, 974?

Answer: LCM of 417, 630, 742, 504, 974 is 9041077080.

2. How to calculate the LCM of 417, 630, 742, 504, 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 417, 630, 742, 504, 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}.