Given numbers are 617,504,422,360

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

The LCM of 617,504,422,360 is 328071240.

Find LCM of 617,504,422,360 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 617 x 7 x 211 x 5 = 328071240

Therefore, the lowest common multiple of 617,504,422,360 is 328071240.

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.

617 x 504 x 422 x 360 = 47242258560

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.

617 : 1, 617

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

422 : 1, 2, 211, 422

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,504,422,360, is 1.

Now, the common factors can be found like this.

617:617

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

422:2x 211

360:2x 2x 2x 3x 3x 5

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 3 = 144

Therefore, the value for common factors is 144.

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 = 47242258560/(1x144)

LCM = 47242258560/144

LCM = 328071240

Thus, we can understand that the LCM of 617,504,422,360 is 328071240.

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

• LCM of 148, 437, 126, 426
• LCM of 166, 668, 980, 170
• LCM of 670, 632, 640, 708
• LCM of 449, 794, 715, 934
• LCM of 288, 771, 202, 789

1. What is the LCM of 617, 504, 422, 360?

Answer: LCM of 617, 504, 422, 360 is 328071240.

2. How to calculate the LCM of 617, 504, 422, 360?

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 617, 504, 422, 360.

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}.