Given numbers are 610,640,772,480

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

The LCM of 610,640,772,480 is 22604160.

Find LCM of 610,640,772,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 61 x 4 x 193 x 3 = 22604160

Therefore, the lowest common multiple of 610,640,772,480 is 22604160.

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.

610 x 640 x 772 x 480 = 144666624000

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

772 : 1, 2, 4, 193, 386, 772

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,640,772,480, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

640:2x 2x 2x 2x 2x 2x 2x 5

772:2x 2x 193

480:2x 2x 2x 2x 2x 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 2x 2x 2x 5x 5 = 3200

Therefore, the value for common factors is 3200.

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 = 144666624000/(2x3200)

LCM = 144666624000/6400

LCM = 22604160

Thus, we can understand that the LCM of 610,640,772,480 is 22604160.

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

• LCM of 786, 488, 521, 564
• LCM of 499, 827, 857, 156
• LCM of 738, 662, 722, 122
• LCM of 763, 967, 467, 223
• LCM of 112, 951, 747, 395

1. What is the LCM of 610, 640, 772, 480?

Answer: LCM of 610, 640, 772, 480 is 22604160.

2. How to calculate the LCM of 610, 640, 772, 480?

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 610, 640, 772, 480.

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}.