Given numbers are 705,758,598,950,720

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

The LCM of 705,758,598,950,720 is 364304350800.

Find LCM of 705,758,598,950,720 with Prime Factorization

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

2 x 3 x 5 x 47 x 379 x 299 x 95 x 24 = 364304350800

Therefore, the lowest common multiple of 705,758,598,950,720 is 364304350800.

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.

705 x 758 x 598 x 950 x 720 = 218582610480000

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

758 : 1, 2, 379, 758

598 : 1, 2, 13, 23, 26, 46, 299, 598

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,758,598,950,720, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

758:2x 379

598:2x 13x 23

950:2x 5x 5x 19

720:2x 2x 2x 2x 3x 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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 218582610480000/(1x600)

LCM = 218582610480000/600

LCM = 364304350800

Thus, we can understand that the LCM of 705,758,598,950,720 is 364304350800.

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

• LCM of 705, 818, 364, 373, 379
• LCM of 693, 213, 904, 960, 354
• LCM of 219, 258, 838, 379, 456
• LCM of 798, 706, 446, 514, 556
• LCM of 424, 364, 759, 550, 957

1. What is the LCM of 705, 758, 598, 950, 720?

Answer: LCM of 705, 758, 598, 950, 720 is 364304350800.

2. How to calculate the LCM of 705, 758, 598, 950, 720?

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 705, 758, 598, 950, 720.

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}.