Given numbers are 617,596,750,720

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

The LCM of 617,596,750,720 is 1654794000.

Find LCM of 617,596,750,720 with Prime Factorization

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

2 x 2 x 3 x 5 x 617 x 149 x 25 x 12 = 1654794000

Therefore, the lowest common multiple of 617,596,750,720 is 1654794000.

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.

617 x 596 x 750 x 720 = 198575280000

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.

617 : 1, 617

596 : 1, 2, 4, 149, 298, 596

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 617,596,750,720, is 1.

Now, the common factors can be found like this.

617:617

596:2x 2x 149

750:2x 3x 5x 5x 5

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 5 = 120

Therefore, the value for common factors is 120.

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 = 198575280000/(1x120)

LCM = 198575280000/120

LCM = 1654794000

Thus, we can understand that the LCM of 617,596,750,720 is 1654794000.

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

• LCM of 347, 287, 864, 296
• LCM of 188, 817, 706, 591
• LCM of 763, 196, 970, 959
• LCM of 277, 200, 820, 334
• LCM of 349, 269, 264, 823

1. What is the LCM of 617, 596, 750, 720?

Answer: LCM of 617, 596, 750, 720 is 1654794000.

2. How to calculate the LCM of 617, 596, 750, 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 617, 596, 750, 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}.