Given numbers are 644,414,712,450,268

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

The LCM of 644,414,712,450,268 is 1728077400.

Find LCM of 644,414,712,450,268 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 7 x 1 x 178 x 25 x 67 = 1728077400

Therefore, the lowest common multiple of 644,414,712,450,268 is 1728077400.

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.

644 x 414 x 712 x 450 x 268 = 22893569395200

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

712 : 1, 2, 4, 8, 89, 178, 356, 712

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,414,712,450,268, is 2.

Now, the common factors can be found like this.

644:2x 2x 7x 23

414:2x 3x 3x 23

712:2x 2x 2x 89

450:2x 3x 3x 5x 5

268:2x 2x 67

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 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 22893569395200/(2x6624)

LCM = 22893569395200/13248

LCM = 1728077400

Thus, we can understand that the LCM of 644,414,712,450,268 is 1728077400.

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

• LCM of 621, 972, 593, 335, 989
• LCM of 342, 179, 475, 751, 950
• LCM of 514, 265, 789, 328, 219
• LCM of 935, 334, 481, 608, 542
• LCM of 591, 435, 199, 924, 548

1. What is the LCM of 644, 414, 712, 450, 268?

Answer: LCM of 644, 414, 712, 450, 268 is 1728077400.

2. How to calculate the LCM of 644, 414, 712, 450, 268?

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 644, 414, 712, 450, 268.

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}.