Given numbers are 504,268,148,734,312

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

The LCM of 504,268,148,734,312 is 5960963736.

Find LCM of 504,268,148,734,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 67 x 37 x 367 x 13 = 5960963736

Therefore, the lowest common multiple of 504,268,148,734,312 is 5960963736.

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.

504 x 268 x 148 x 734 x 312 = 4578020149248

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

268 : 1, 2, 4, 67, 134, 268

148 : 1, 2, 4, 37, 74, 148

734 : 1, 2, 367, 734

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,268,148,734,312, is 2.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

268:2x 2x 67

148:2x 2x 37

734:2x 367

312:2x 2x 2x 3x 13

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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 4578020149248/(2x384)

LCM = 4578020149248/768

LCM = 5960963736

Thus, we can understand that the LCM of 504,268,148,734,312 is 5960963736.

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

• LCM of 378, 746, 640, 522, 683
• LCM of 495, 918, 135, 504, 471
• LCM of 530, 416, 787, 150, 479
• LCM of 955, 676, 301, 139, 335
• LCM of 488, 459, 672, 432, 272

1. What is the LCM of 504, 268, 148, 734, 312?

Answer: LCM of 504, 268, 148, 734, 312 is 5960963736.

2. How to calculate the LCM of 504, 268, 148, 734, 312?

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 504, 268, 148, 734, 312.

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}.