Given numbers are 552,372,682,468

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

The LCM of 552,372,682,468 is 7341048.

Find LCM of 552,372,682,468 with Prime Factorization

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

2 x 2 x 3 x 31 x 46 x 1 x 11 x 39 = 7341048

Therefore, the lowest common multiple of 552,372,682,468 is 7341048.

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.

552 x 372 x 682 x 468 = 65540876544

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.

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

682 : 1, 2, 11, 22, 31, 62, 341, 682

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,372,682,468, is 2.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

372:2x 2x 3x 31

682:2x 11x 31

468:2x 2x 3x 3x 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 2x 2x 3x 3x 31 = 4464

Therefore, the value for common factors is 4464.

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 = 65540876544/(2x4464)

LCM = 65540876544/8928

LCM = 7341048

Thus, we can understand that the LCM of 552,372,682,468 is 7341048.

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

• LCM of 226, 692, 920, 254
• LCM of 381, 222, 250, 273
• LCM of 343, 477, 181, 124
• LCM of 105, 455, 600, 535
• LCM of 417, 580, 327, 615

1. What is the LCM of 552, 372, 682, 468?

Answer: LCM of 552, 372, 682, 468 is 7341048.

2. How to calculate the LCM of 552, 372, 682, 468?

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 552, 372, 682, 468.

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}.