Given numbers are 401,350,283,638,517

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

The LCM of 401,350,283,638,517 is 595507716650.

Find LCM of 401,350,283,638,517 with Prime Factorization

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

2 x 11 x 401 x 175 x 283 x 29 x 47 = 595507716650

Therefore, the lowest common multiple of 401,350,283,638,517 is 595507716650.

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.

401 x 350 x 283 x 638 x 517 = 13101169766300

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.

401 : 1, 401

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

283 : 1, 283

638 : 1, 2, 11, 22, 29, 58, 319, 638

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,350,283,638,517, is 1.

Now, the common factors can be found like this.

401:401

350:2x 5x 5x 7

283:283

638:2x 11x 29

517:11x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 13101169766300/(1x22)

LCM = 13101169766300/22

LCM = 595507716650

Thus, we can understand that the LCM of 401,350,283,638,517 is 595507716650.

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

• LCM of 249, 695, 124, 502, 253
• LCM of 521, 261, 995, 668, 367
• LCM of 998, 543, 560, 290, 446
• LCM of 711, 416, 114, 422, 360
• LCM of 665, 544, 724, 654, 874

1. What is the LCM of 401, 350, 283, 638, 517?

Answer: LCM of 401, 350, 283, 638, 517 is 595507716650.

2. How to calculate the LCM of 401, 350, 283, 638, 517?

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 401, 350, 283, 638, 517.

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}.