Given numbers are 474,104,108,786,195

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

The LCM of 474,104,108,786,195 is 145299960.

Find LCM of 474,104,108,786,195 with Prime Factorization

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

2 x 2 x 3 x 13 x 79 x 2 x 9 x 131 x 5 = 145299960

Therefore, the lowest common multiple of 474,104,108,786,195 is 145299960.

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.

474 x 104 x 108 x 786 x 195 = 816004575360

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,104,108,786,195, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

104:2x 2x 2x 13

108:2x 2x 3x 3x 3

786:2x 3x 131

195:3x 5x 13

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 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 816004575360/(1x5616)

LCM = 816004575360/5616

LCM = 145299960

Thus, we can understand that the LCM of 474,104,108,786,195 is 145299960.

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

• LCM of 705, 322, 787, 443, 918
• LCM of 367, 607, 859, 321, 930
• LCM of 458, 100, 514, 330, 665
• LCM of 530, 410, 401, 359, 221
• LCM of 234, 267, 839, 290, 563

1. What is the LCM of 474, 104, 108, 786, 195?

Answer: LCM of 474, 104, 108, 786, 195 is 145299960.

2. How to calculate the LCM of 474, 104, 108, 786, 195?

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 474, 104, 108, 786, 195.

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}.