Given numbers are 750,627,924,494

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

The LCM of 750,627,924,494 is 28528500.

Find LCM of 750,627,924,494 with Prime Factorization

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

2 x 3 x 11 x 19 x 125 x 1 x 14 x 13 = 28528500

Therefore, the lowest common multiple of 750,627,924,494 is 28528500.

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 627 x 924 x 494 = 214648434000

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,627,924,494, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

627:3x 11x 19

924:2x 2x 3x 7x 11

494:2x 13x 19

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 11x 19 = 7524

Therefore, the value for common factors is 7524.

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 = 214648434000/(1x7524)

LCM = 214648434000/7524

LCM = 28528500

Thus, we can understand that the LCM of 750,627,924,494 is 28528500.

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

• LCM of 144, 902, 765, 303
• LCM of 255, 268, 807, 807
• LCM of 415, 189, 658, 724
• LCM of 117, 767, 596, 242
• LCM of 519, 223, 399, 114

1. What is the LCM of 750, 627, 924, 494?

Answer: LCM of 750, 627, 924, 494 is 28528500.

2. How to calculate the LCM of 750, 627, 924, 494?

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, 627, 924, 494.

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}.