Given numbers are 235,505,313,705

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

The LCM of 235,505,313,705 is 22287165.

Find LCM of 235,505,313,705 with Prime Factorization

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

5 x 47 x 1 x 101 x 313 x 3 = 22287165

Therefore, the lowest common multiple of 235,505,313,705 is 22287165.

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.

235 x 505 x 313 x 705 = 26187418875

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.

235 : 1, 5, 47, 235

505 : 1, 5, 101, 505

313 : 1, 313

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,505,313,705, is 1.

Now, the common factors can be found like this.

235:5x 47

505:5x 101

313:313

705:3x 5x 47

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

5x 5x 47 = 1175

Therefore, the value for common factors is 1175.

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 = 26187418875/(1x1175)

LCM = 26187418875/1175

LCM = 22287165

Thus, we can understand that the LCM of 235,505,313,705 is 22287165.

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

• LCM of 535, 698, 139, 349
• LCM of 243, 892, 753, 427
• LCM of 340, 794, 772, 347
• LCM of 532, 148, 375, 495
• LCM of 339, 950, 906, 868

1. What is the LCM of 235, 505, 313, 705?

Answer: LCM of 235, 505, 313, 705 is 22287165.

2. How to calculate the LCM of 235, 505, 313, 705?

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 235, 505, 313, 705.

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}.