Given numbers are 299,300,705,440,376

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

The LCM of 299,300,705,440,376 is 92749800.

Find LCM of 299,300,705,440,376 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 47 x 299 x 5 x 1 x 11 x 1 = 92749800

Therefore, the lowest common multiple of 299,300,705,440,376 is 92749800.

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 300 x 705 x 440 x 376 = 10462177440000

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

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

705 : 1, 3, 5, 15, 47, 141, 235, 705

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,300,705,440,376, is 1.

Now, the common factors can be found like this.

299:13x 23

300:2x 2x 3x 5x 5

705:3x 5x 47

440:2x 2x 2x 5x 11

376:2x 2x 2x 47

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 2x 3x 5x 5x 47 = 112800

Therefore, the value for common factors is 112800.

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 = 10462177440000/(1x112800)

LCM = 10462177440000/112800

LCM = 92749800

Thus, we can understand that the LCM of 299,300,705,440,376 is 92749800.

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

• LCM of 348, 997, 365, 639, 182
• LCM of 967, 990, 299, 562, 323
• LCM of 718, 224, 627, 390, 109
• LCM of 646, 748, 496, 675, 577
• LCM of 814, 426, 542, 192, 796

1. What is the LCM of 299, 300, 705, 440, 376?

Answer: LCM of 299, 300, 705, 440, 376 is 92749800.

2. How to calculate the LCM of 299, 300, 705, 440, 376?

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, 300, 705, 440, 376.

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}.