Given numbers are 395,375,382,677

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

The LCM of 395,375,382,677 is 7661439750.

Find LCM of 395,375,382,677 with Prime Factorization

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

5 x 79 x 75 x 382 x 677 = 7661439750

Therefore, the lowest common multiple of 395,375,382,677 is 7661439750.

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.

395 x 375 x 382 x 677 = 38307198750

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.

395 : 1, 5, 79, 395

375 : 1, 3, 5, 15, 25, 75, 125, 375

382 : 1, 2, 191, 382

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,375,382,677, is 1.

Now, the common factors can be found like this.

395:5x 79

375:3x 5x 5x 5

382:2x 191

677:677

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 38307198750/(1x5)

LCM = 38307198750/5

LCM = 7661439750

Thus, we can understand that the LCM of 395,375,382,677 is 7661439750.

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

• LCM of 775, 853, 900, 171
• LCM of 345, 732, 155, 131
• LCM of 736, 100, 518, 805
• LCM of 576, 504, 378, 496
• LCM of 216, 959, 500, 582

1. What is the LCM of 395, 375, 382, 677?

Answer: LCM of 395, 375, 382, 677 is 7661439750.

2. How to calculate the LCM of 395, 375, 382, 677?

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 395, 375, 382, 677.

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}.