Given numbers are 710,647,900,460,440

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

The LCM of 710,647,900,460,440 is 20919709800.

Find LCM of 710,647,900,460,440 with Prime Factorization

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

2 x 2 x 5 x 71 x 647 x 45 x 23 x 22 = 20919709800

Therefore, the lowest common multiple of 710,647,900,460,440 is 20919709800.

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.

710 x 647 x 900 x 460 x 440 = 83678839200000

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

647 : 1, 647

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,647,900,460,440, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

647:647

900:2x 2x 3x 3x 5x 5

460:2x 2x 5x 23

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 2x 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 83678839200000/(1x4000)

LCM = 83678839200000/4000

LCM = 20919709800

Thus, we can understand that the LCM of 710,647,900,460,440 is 20919709800.

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

• LCM of 760, 841, 337, 632, 103
• LCM of 609, 133, 969, 413, 550
• LCM of 946, 254, 211, 137, 182
• LCM of 777, 143, 468, 108, 832
• LCM of 532, 309, 164, 740, 850

1. What is the LCM of 710, 647, 900, 460, 440?

Answer: LCM of 710, 647, 900, 460, 440 is 20919709800.

2. How to calculate the LCM of 710, 647, 900, 460, 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 710, 647, 900, 460, 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}.