Given numbers are 522,142,406,313

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

The LCM of 522,142,406,313 is 81202842.

Find LCM of 522,142,406,313 with Prime Factorization

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

2 x 29 x 9 x 71 x 7 x 313 = 81202842

Therefore, the lowest common multiple of 522,142,406,313 is 81202842.

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.

522 x 142 x 406 x 313 = 9419529672

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

142 : 1, 2, 71, 142

406 : 1, 2, 7, 14, 29, 58, 203, 406

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,142,406,313, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

142:2x 71

406:2x 7x 29

313:313

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 29 = 116

Therefore, the value for common factors is 116.

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 = 9419529672/(1x116)

LCM = 9419529672/116

LCM = 81202842

Thus, we can understand that the LCM of 522,142,406,313 is 81202842.

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

• LCM of 427, 358, 709, 400
• LCM of 496, 217, 500, 887
• LCM of 221, 943, 149, 902
• LCM of 613, 544, 463, 762
• LCM of 628, 749, 576, 615

1. What is the LCM of 522, 142, 406, 313?

Answer: LCM of 522, 142, 406, 313 is 81202842.

2. How to calculate the LCM of 522, 142, 406, 313?

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 522, 142, 406, 313.

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}.