Given numbers are 617,480,144,652

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

The LCM of 617,480,144,652 is 144822240.

Find LCM of 617,480,144,652 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 617 x 10 x 3 x 163 = 144822240

Therefore, the lowest common multiple of 617,480,144,652 is 144822240.

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 480 x 144 x 652 = 27805870080

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,480,144,652, is 1.

Now, the common factors can be found like this.

617:617

480:2x 2x 2x 2x 2x 3x 5

144:2x 2x 2x 2x 3x 3

652:2x 2x 163

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 27805870080/(1x192)

LCM = 27805870080/192

LCM = 144822240

Thus, we can understand that the LCM of 617,480,144,652 is 144822240.

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

• LCM of 487, 242, 416, 956
• LCM of 483, 898, 885, 179
• LCM of 493, 703, 300, 249
• LCM of 654, 895, 435, 291
• LCM of 119, 130, 457, 326

1. What is the LCM of 617, 480, 144, 652?

Answer: LCM of 617, 480, 144, 652 is 144822240.

2. How to calculate the LCM of 617, 480, 144, 652?

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, 480, 144, 652.

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}.