Given numbers are 369,491,531,795,789

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

The LCM of 369,491,531,795,789 is 745008953895.

Find LCM of 369,491,531,795,789 with Prime Factorization

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

3 x 3 x 41 x 491 x 59 x 265 x 263 = 745008953895

Therefore, the lowest common multiple of 369,491,531,795,789 is 745008953895.

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.

369 x 491 x 531 x 795 x 789 = 60345725265495

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.

369 : 1, 3, 9, 41, 123, 369

491 : 1, 491

531 : 1, 3, 9, 59, 177, 531

795 : 1, 3, 5, 15, 53, 159, 265, 795

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,491,531,795,789, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

491:491

531:3x 3x 59

795:3x 5x 53

789:3x 263

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 60345725265495/(1x81)

LCM = 60345725265495/81

LCM = 745008953895

Thus, we can understand that the LCM of 369,491,531,795,789 is 745008953895.

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

• LCM of 182, 276, 930, 940, 839
• LCM of 307, 729, 369, 142, 524
• LCM of 910, 461, 499, 402, 443
• LCM of 886, 166, 196, 660, 929
• LCM of 824, 253, 652, 573, 731

1. What is the LCM of 369, 491, 531, 795, 789?

Answer: LCM of 369, 491, 531, 795, 789 is 745008953895.

2. How to calculate the LCM of 369, 491, 531, 795, 789?

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 369, 491, 531, 795, 789.

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}.