Given numbers are 642,797,174,252,284

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

The LCM of 642,797,174,252,284 is 44248544172.

Find LCM of 642,797,174,252,284 with Prime Factorization

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

2 x 2 x 3 x 107 x 797 x 29 x 21 x 71 = 44248544172

Therefore, the lowest common multiple of 642,797,174,252,284 is 44248544172.

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.

642 x 797 x 174 x 252 x 284 = 6371790360768

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

797 : 1, 797

174 : 1, 2, 3, 6, 29, 58, 87, 174

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,797,174,252,284, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

797:797

174:2x 3x 29

252:2x 2x 3x 3x 7

284:2x 2x 71

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 6371790360768/(1x144)

LCM = 6371790360768/144

LCM = 44248544172

Thus, we can understand that the LCM of 642,797,174,252,284 is 44248544172.

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

• LCM of 619, 387, 567, 601, 245
• LCM of 342, 166, 500, 109, 333
• LCM of 623, 477, 679, 599, 514
• LCM of 998, 681, 496, 140, 443
• LCM of 487, 623, 375, 728, 973

1. What is the LCM of 642, 797, 174, 252, 284?

Answer: LCM of 642, 797, 174, 252, 284 is 44248544172.

2. How to calculate the LCM of 642, 797, 174, 252, 284?

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 642, 797, 174, 252, 284.

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}.