Given numbers are 299,432,502,250,770

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

The LCM of 299,432,502,250,770 is 312053742000.

Find LCM of 299,432,502,250,770 with Prime Factorization

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

2 x 5 x 299 x 216 x 251 x 25 x 77 = 312053742000

Therefore, the lowest common multiple of 299,432,502,250,770 is 312053742000.

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.

299 x 432 x 502 x 250 x 770 = 12482149680000

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.

299 : 1, 13, 23, 299

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

502 : 1, 2, 251, 502

250 : 1, 2, 5, 10, 25, 50, 125, 250

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,432,502,250,770, is 1.

Now, the common factors can be found like this.

299:13x 23

432:2x 2x 2x 2x 3x 3x 3

502:2x 251

250:2x 5x 5x 5

770:2x 5x 7x 11

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 5 = 40

Therefore, the value for common factors is 40.

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 = 12482149680000/(1x40)

LCM = 12482149680000/40

LCM = 312053742000

Thus, we can understand that the LCM of 299,432,502,250,770 is 312053742000.

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

• LCM of 114, 973, 649, 649, 465
• LCM of 909, 612, 369, 662, 430
• LCM of 572, 464, 861, 315, 234
• LCM of 276, 123, 131, 742, 305
• LCM of 628, 822, 119, 680, 503

1. What is the LCM of 299, 432, 502, 250, 770?

Answer: LCM of 299, 432, 502, 250, 770 is 312053742000.

2. How to calculate the LCM of 299, 432, 502, 250, 770?

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 299, 432, 502, 250, 770.

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}.