Given numbers are 460,552,874,976

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

The LCM of 460,552,874,976 is 6397680.

Find LCM of 460,552,874,976 with Prime Factorization

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

2 x 2 x 2 x 23 x 5 x 3 x 19 x 122 = 6397680

Therefore, the lowest common multiple of 460,552,874,976 is 6397680.

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.

460 x 552 x 874 x 976 = 216599854080

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.

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

874 : 1, 2, 19, 23, 38, 46, 437, 874

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,552,874,976, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

552:2x 2x 2x 3x 23

874:2x 19x 23

976:2x 2x 2x 2x 61

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 23x 23 = 16928

Therefore, the value for common factors is 16928.

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 = 216599854080/(2x16928)

LCM = 216599854080/33856

LCM = 6397680

Thus, we can understand that the LCM of 460,552,874,976 is 6397680.

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

• LCM of 711, 288, 667, 813
• LCM of 903, 318, 863, 238
• LCM of 624, 261, 479, 941
• LCM of 468, 505, 586, 628
• LCM of 270, 410, 504, 330

1. What is the LCM of 460, 552, 874, 976?

Answer: LCM of 460, 552, 874, 976 is 6397680.

2. How to calculate the LCM of 460, 552, 874, 976?

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 460, 552, 874, 976.

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}.