Given numbers are 364,291,546,377,882

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

The LCM of 364,291,546,377,882 is 64507716.

Find LCM of 364,291,546,377,882 with Prime Factorization

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

2 x 3 x 7 x 13 x 2 x 97 x 1 x 29 x 21 = 64507716

Therefore, the lowest common multiple of 364,291,546,377,882 is 64507716.

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.

364 x 291 x 546 x 377 x 882 = 19230782263056

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

291 : 1, 3, 97, 291

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

377 : 1, 13, 29, 377

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,291,546,377,882, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

291:3x 97

546:2x 3x 7x 13

377:13x 29

882:2x 3x 3x 7x 7

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 3x 3x 7x 7x 13x 13 = 298116

Therefore, the value for common factors is 298116.

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 = 19230782263056/(1x298116)

LCM = 19230782263056/298116

LCM = 64507716

Thus, we can understand that the LCM of 364,291,546,377,882 is 64507716.

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

• LCM of 259, 874, 488, 296, 674
• LCM of 834, 821, 391, 693, 332
• LCM of 483, 277, 577, 896, 138
• LCM of 599, 509, 880, 573, 260
• LCM of 413, 561, 920, 888, 343

1. What is the LCM of 364, 291, 546, 377, 882?

Answer: LCM of 364, 291, 546, 377, 882 is 64507716.

2. How to calculate the LCM of 364, 291, 546, 377, 882?

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 364, 291, 546, 377, 882.

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}.