Given numbers are 750,523,924,706,408

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

The LCM of 750,523,924,706,408 is 724998813000.

Find LCM of 750,523,924,706,408 with Prime Factorization

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

2 x 2 x 3 x 125 x 523 x 77 x 353 x 34 = 724998813000

Therefore, the lowest common multiple of 750,523,924,706,408 is 724998813000.

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 523 x 924 x 706 x 408 = 104399829072000

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

523 : 1, 523

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

706 : 1, 2, 353, 706

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,523,924,706,408, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

523:523

924:2x 2x 3x 7x 11

706:2x 353

408:2x 2x 2x 3x 17

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 104399829072000/(1x144)

LCM = 104399829072000/144

LCM = 724998813000

Thus, we can understand that the LCM of 750,523,924,706,408 is 724998813000.

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

• LCM of 462, 191, 955, 679, 520
• LCM of 100, 314, 702, 712, 610
• LCM of 848, 274, 713, 240, 140
• LCM of 546, 165, 620, 797, 811
• LCM of 981, 422, 887, 704, 943

1. What is the LCM of 750, 523, 924, 706, 408?

Answer: LCM of 750, 523, 924, 706, 408 is 724998813000.

2. How to calculate the LCM of 750, 523, 924, 706, 408?

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, 523, 924, 706, 408.

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}.