Given numbers are 356,409,428,817

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

The LCM of 356,409,428,817 is 12728556076.

Find LCM of 356,409,428,817 with Prime Factorization

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

2 x 2 x 89 x 409 x 107 x 817 = 12728556076

Therefore, the lowest common multiple of 356,409,428,817 is 12728556076.

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.

356 x 409 x 428 x 817 = 50914224304

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.

356 : 1, 2, 4, 89, 178, 356

409 : 1, 409

428 : 1, 2, 4, 107, 214, 428

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,409,428,817, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

409:409

428:2x 2x 107

817:19x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 50914224304/(1x4)

LCM = 50914224304/4

LCM = 12728556076

Thus, we can understand that the LCM of 356,409,428,817 is 12728556076.

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

• LCM of 906, 518, 705, 209
• LCM of 356, 967, 151, 115
• LCM of 857, 457, 356, 554
• LCM of 282, 115, 115, 986
• LCM of 500, 667, 143, 975

1. What is the LCM of 356, 409, 428, 817?

Answer: LCM of 356, 409, 428, 817 is 12728556076.

2. How to calculate the LCM of 356, 409, 428, 817?

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 356, 409, 428, 817.

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}.