Given numbers are 750,722,689,624,993

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

The LCM of 750,722,689,624,993 is 493975794000.

Find LCM of 750,722,689,624,993 with Prime Factorization

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

2 x 3 x 13 x 125 x 361 x 53 x 8 x 331 = 493975794000

Therefore, the lowest common multiple of 750,722,689,624,993 is 493975794000.

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.

750 x 722 x 689 x 624 x 993 = 231180671592000

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.

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

722 : 1, 2, 19, 38, 361, 722

689 : 1, 13, 53, 689

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,722,689,624,993, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

722:2x 19x 19

689:13x 53

624:2x 2x 2x 2x 3x 13

993:3x 331

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 231180671592000/(1x468)

LCM = 231180671592000/468

LCM = 493975794000

Thus, we can understand that the LCM of 750,722,689,624,993 is 493975794000.

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

• LCM of 281, 447, 553, 617, 220
• LCM of 978, 851, 517, 675, 774
• LCM of 291, 678, 394, 806, 132
• LCM of 527, 660, 396, 429, 559
• LCM of 124, 199, 136, 116, 588

1. What is the LCM of 750, 722, 689, 624, 993?

Answer: LCM of 750, 722, 689, 624, 993 is 493975794000.

2. How to calculate the LCM of 750, 722, 689, 624, 993?

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 750, 722, 689, 624, 993.

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}.