Given numbers are 312,540,529,370,235

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

The LCM of 312,540,529,370,235 is 12915831240.

Find LCM of 312,540,529,370,235 with Prime Factorization

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

2 x 2 x 3 x 5 x 26 x 9 x 529 x 37 x 47 = 12915831240

Therefore, the lowest common multiple of 312,540,529,370,235 is 12915831240.

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.

312 x 540 x 529 x 370 x 235 = 7749498744000

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.

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

529 : 1, 23, 529

370 : 1, 2, 5, 10, 37, 74, 185, 370

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,540,529,370,235, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

540:2x 2x 3x 3x 3x 5

529:23x 23

370:2x 5x 37

235:5x 47

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

2x 2x 2x 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 7749498744000/(1x600)

LCM = 7749498744000/600

LCM = 12915831240

Thus, we can understand that the LCM of 312,540,529,370,235 is 12915831240.

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

• LCM of 715, 874, 191, 938, 858
• LCM of 637, 179, 111, 318, 116
• LCM of 176, 999, 320, 567, 881
• LCM of 109, 105, 832, 170, 789
• LCM of 415, 649, 229, 825, 380

1. What is the LCM of 312, 540, 529, 370, 235?

Answer: LCM of 312, 540, 529, 370, 235 is 12915831240.

2. How to calculate the LCM of 312, 540, 529, 370, 235?

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 312, 540, 529, 370, 235.

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}.