Given numbers are 313,214,115,535,477

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

The LCM of 313,214,115,535,477 is 3674297610.

Find LCM of 313,214,115,535,477 with Prime Factorization

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

5 x 107 x 313 x 2 x 23 x 1 x 477 = 3674297610

Therefore, the lowest common multiple of 313,214,115,535,477 is 3674297610.

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.

313 x 214 x 115 x 535 x 477 = 1965749221350

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.

313 : 1, 313

214 : 1, 2, 107, 214

115 : 1, 5, 23, 115

535 : 1, 5, 107, 535

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,214,115,535,477, is 1.

Now, the common factors can be found like this.

313:313

214:2x 107

115:5x 23

535:5x 107

477:3x 3x 53

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

5x 107 = 535

Therefore, the value for common factors is 535.

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 = 1965749221350/(1x535)

LCM = 1965749221350/535

LCM = 3674297610

Thus, we can understand that the LCM of 313,214,115,535,477 is 3674297610.

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

• LCM of 220, 223, 157, 193, 464
• LCM of 374, 364, 196, 947, 626
• LCM of 114, 856, 778, 387, 269
• LCM of 101, 817, 726, 909, 367
• LCM of 778, 663, 762, 298, 909

1. What is the LCM of 313, 214, 115, 535, 477?

Answer: LCM of 313, 214, 115, 535, 477 is 3674297610.

2. How to calculate the LCM of 313, 214, 115, 535, 477?

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 313, 214, 115, 535, 477.

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}.