Given numbers are 391,301,749,560,861

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

The LCM of 391,301,749,560,861 is 123914500080.

Find LCM of 391,301,749,560,861 with Prime Factorization

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

7 x 391 x 43 x 107 x 80 x 123 = 123914500080

Therefore, the lowest common multiple of 391,301,749,560,861 is 123914500080.

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.

391 x 301 x 749 x 560 x 861 = 42502673527440

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.

391 : 1, 17, 23, 391

301 : 1, 7, 43, 301

749 : 1, 7, 107, 749

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,301,749,560,861, is 1.

Now, the common factors can be found like this.

391:17x 23

301:7x 43

749:7x 107

560:2x 2x 2x 2x 5x 7

861:3x 7x 41

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

7x 7x 7 = 343

Therefore, the value for common factors is 343.

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 = 42502673527440/(1x343)

LCM = 42502673527440/343

LCM = 123914500080

Thus, we can understand that the LCM of 391,301,749,560,861 is 123914500080.

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

• LCM of 305, 105, 401, 651, 404
• LCM of 879, 583, 813, 330, 235
• LCM of 813, 343, 729, 769, 971
• LCM of 338, 960, 504, 133, 872
• LCM of 567, 107, 928, 722, 994

1. What is the LCM of 391, 301, 749, 560, 861?

Answer: LCM of 391, 301, 749, 560, 861 is 123914500080.

2. How to calculate the LCM of 391, 301, 749, 560, 861?

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 391, 301, 749, 560, 861.

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}.