Given numbers are 324,760,798,107,231

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

The LCM of 324,760,798,107,231 is 507192840.

Find LCM of 324,760,798,107,231 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 27 x 10 x 1 x 107 x 11 = 507192840

Therefore, the lowest common multiple of 324,760,798,107,231 is 507192840.

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.

324 x 760 x 798 x 107 x 231 = 4856878635840

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

107 : 1, 107

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,760,798,107,231, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

760:2x 2x 2x 5x 19

798:2x 3x 7x 19

107:107

231:3x 7x 11

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 3x 3x 7x 19 = 9576

Therefore, the value for common factors is 9576.

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 = 4856878635840/(1x9576)

LCM = 4856878635840/9576

LCM = 507192840

Thus, we can understand that the LCM of 324,760,798,107,231 is 507192840.

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

• LCM of 974, 228, 724, 335, 272
• LCM of 321, 530, 398, 547, 837
• LCM of 303, 725, 980, 554, 753
• LCM of 332, 358, 947, 827, 277
• LCM of 266, 870, 600, 985, 703

1. What is the LCM of 324, 760, 798, 107, 231?

Answer: LCM of 324, 760, 798, 107, 231 is 507192840.

2. How to calculate the LCM of 324, 760, 798, 107, 231?

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 324, 760, 798, 107, 231.

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}.