Given numbers are 361,259,644,391,345

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

The LCM of 361,259,644,391,345 is 2193486540.

Find LCM of 361,259,644,391,345 with Prime Factorization

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

7 x 23 x 361 x 37 x 4 x 17 x 15 = 2193486540

Therefore, the lowest common multiple of 361,259,644,391,345 is 2193486540.

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.

361 x 259 x 644 x 391 x 345 = 8122480657620

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.

361 : 1, 19, 361

259 : 1, 7, 37, 259

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

391 : 1, 17, 23, 391

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,259,644,391,345, is 1.

Now, the common factors can be found like this.

361:19x 19

259:7x 37

644:2x 2x 7x 23

391:17x 23

345:3x 5x 23

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

7x 23x 23 = 3703

Therefore, the value for common factors is 3703.

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 = 8122480657620/(1x3703)

LCM = 8122480657620/3703

LCM = 2193486540

Thus, we can understand that the LCM of 361,259,644,391,345 is 2193486540.

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

• LCM of 796, 805, 151, 107, 268
• LCM of 951, 603, 781, 303, 820
• LCM of 923, 164, 561, 686, 210
• LCM of 477, 256, 553, 841, 616
• LCM of 450, 233, 339, 790, 807

1. What is the LCM of 361, 259, 644, 391, 345?

Answer: LCM of 361, 259, 644, 391, 345 is 2193486540.

2. How to calculate the LCM of 361, 259, 644, 391, 345?

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 361, 259, 644, 391, 345.

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}.