Given numbers are 313,234,570,312,755

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

The LCM of 313,234,570,312,755 is 4202625960.

Find LCM of 313,234,570,312,755 with Prime Factorization

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

2 x 3 x 5 x 13 x 313 x 3 x 19 x 4 x 151 = 4202625960

Therefore, the lowest common multiple of 313,234,570,312,755 is 4202625960.

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 234 x 570 x 312 x 755 = 9834144746400

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,234,570,312,755, is 1.

Now, the common factors can be found like this.

313:313

234:2x 3x 3x 13

570:2x 3x 5x 19

312:2x 2x 2x 3x 13

755:5x 151

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

2x 2x 3x 3x 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 9834144746400/(1x2340)

LCM = 9834144746400/2340

LCM = 4202625960

Thus, we can understand that the LCM of 313,234,570,312,755 is 4202625960.

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

• LCM of 690, 700, 940, 361, 733
• LCM of 720, 490, 465, 693, 292
• LCM of 576, 388, 379, 499, 209
• LCM of 908, 650, 703, 772, 717
• LCM of 893, 509, 820, 877, 426

1. What is the LCM of 313, 234, 570, 312, 755?

Answer: LCM of 313, 234, 570, 312, 755 is 4202625960.

2. How to calculate the LCM of 313, 234, 570, 312, 755?

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, 234, 570, 312, 755.

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}.