Given numbers are 521,409,628,948

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

The LCM of 521,409,628,948 is 31715314404.

Find LCM of 521,409,628,948 with Prime Factorization

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

2 x 2 x 521 x 409 x 157 x 237 = 31715314404

Therefore, the lowest common multiple of 521,409,628,948 is 31715314404.

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.

521 x 409 x 628 x 948 = 126861257616

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.

521 : 1, 521

409 : 1, 409

628 : 1, 2, 4, 157, 314, 628

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,409,628,948, is 1.

Now, the common factors can be found like this.

521:521

409:409

628:2x 2x 157

948:2x 2x 3x 79

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 = 126861257616/(1x4)

LCM = 126861257616/4

LCM = 31715314404

Thus, we can understand that the LCM of 521,409,628,948 is 31715314404.

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

• LCM of 766, 247, 361, 646
• LCM of 917, 751, 694, 120
• LCM of 103, 242, 835, 724
• LCM of 584, 569, 573, 904
• LCM of 476, 986, 723, 923

1. What is the LCM of 521, 409, 628, 948?

Answer: LCM of 521, 409, 628, 948 is 31715314404.

2. How to calculate the LCM of 521, 409, 628, 948?

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 521, 409, 628, 948.

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}.