Given numbers are 383,814,750,376,380

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

The LCM of 383,814,750,376,380 is 417605199000.

Find LCM of 383,814,750,376,380 with Prime Factorization

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

2 x 2 x 5 x 383 x 407 x 75 x 94 x 19 = 417605199000

Therefore, the lowest common multiple of 383,814,750,376,380 is 417605199000.

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.

383 x 814 x 750 x 376 x 380 = 33408415920000

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.

383 : 1, 383

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,814,750,376,380, is 1.

Now, the common factors can be found like this.

383:383

814:2x 11x 37

750:2x 3x 5x 5x 5

376:2x 2x 2x 47

380:2x 2x 5x 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 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 33408415920000/(1x80)

LCM = 33408415920000/80

LCM = 417605199000

Thus, we can understand that the LCM of 383,814,750,376,380 is 417605199000.

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

• LCM of 434, 191, 718, 593, 171
• LCM of 155, 420, 460, 499, 909
• LCM of 200, 609, 109, 514, 354
• LCM of 997, 688, 341, 649, 856
• LCM of 899, 113, 653, 439, 860

1. What is the LCM of 383, 814, 750, 376, 380?

Answer: LCM of 383, 814, 750, 376, 380 is 417605199000.

2. How to calculate the LCM of 383, 814, 750, 376, 380?

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 383, 814, 750, 376, 380.

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}.