Given numbers are 390,770,563,880,724

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

The LCM of 390,770,563,880,724 is 24481176720.

Find LCM of 390,770,563,880,724 with Prime Factorization

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

2 x 2 x 5 x 11 x 39 x 7 x 563 x 4 x 181 = 24481176720

Therefore, the lowest common multiple of 390,770,563,880,724 is 24481176720.

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.

390 x 770 x 563 x 880 x 724 = 107717177568000

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

563 : 1, 563

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,770,563,880,724, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

770:2x 5x 7x 11

563:563

880:2x 2x 2x 2x 5x 11

724:2x 2x 181

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 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 107717177568000/(1x4400)

LCM = 107717177568000/4400

LCM = 24481176720

Thus, we can understand that the LCM of 390,770,563,880,724 is 24481176720.

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

• LCM of 704, 520, 467, 543, 129
• LCM of 233, 561, 799, 479, 704
• LCM of 291, 371, 582, 759, 663
• LCM of 750, 684, 497, 864, 410
• LCM of 727, 671, 400, 133, 820

1. What is the LCM of 390, 770, 563, 880, 724?

Answer: LCM of 390, 770, 563, 880, 724 is 24481176720.

2. How to calculate the LCM of 390, 770, 563, 880, 724?

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 390, 770, 563, 880, 724.

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}.