Given numbers are 317,351,430,560

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

The LCM of 317,351,430,560 is 2679309360.

Find LCM of 317,351,430,560 with Prime Factorization

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

2 x 5 x 317 x 351 x 43 x 56 = 2679309360

Therefore, the lowest common multiple of 317,351,430,560 is 2679309360.

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.

317 x 351 x 430 x 560 = 26793093600

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.

317 : 1, 317

351 : 1, 3, 9, 13, 27, 39, 117, 351

430 : 1, 2, 5, 10, 43, 86, 215, 430

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,351,430,560, is 1.

Now, the common factors can be found like this.

317:317

351:3x 3x 3x 13

430:2x 5x 43

560:2x 2x 2x 2x 5x 7

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 26793093600/(1x10)

LCM = 26793093600/10

LCM = 2679309360

Thus, we can understand that the LCM of 317,351,430,560 is 2679309360.

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

• LCM of 127, 536, 233, 840
• LCM of 176, 321, 608, 537
• LCM of 802, 557, 801, 821
• LCM of 473, 719, 998, 224
• LCM of 101, 212, 144, 985

1. What is the LCM of 317, 351, 430, 560?

Answer: LCM of 317, 351, 430, 560 is 2679309360.

2. How to calculate the LCM of 317, 351, 430, 560?

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 317, 351, 430, 560.

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}.