Given numbers are 460,620,708,440

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

The LCM of 460,620,708,440 is 55528440.

Find LCM of 460,620,708,440 with Prime Factorization

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

2 x 2 x 5 x 23 x 31 x 177 x 22 = 55528440

Therefore, the lowest common multiple of 460,620,708,440 is 55528440.

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.

460 x 620 x 708 x 440 = 88845504000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,620,708,440, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

620:2x 2x 5x 31

708:2x 2x 3x 59

440:2x 2x 2x 5x 11

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 88845504000/(4x400)

LCM = 88845504000/1600

LCM = 55528440

Thus, we can understand that the LCM of 460,620,708,440 is 55528440.

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

• LCM of 217, 467, 828, 229
• LCM of 930, 799, 985, 642
• LCM of 310, 749, 485, 515
• LCM of 271, 501, 233, 244
• LCM of 773, 937, 203, 459

1. What is the LCM of 460, 620, 708, 440?

Answer: LCM of 460, 620, 708, 440 is 55528440.

2. How to calculate the LCM of 460, 620, 708, 440?

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 460, 620, 708, 440.

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}.