Given numbers are 504,284,874,340

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

The LCM of 504,284,874,340 is 1329196680.

Find LCM of 504,284,874,340 with Prime Factorization

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

2 x 2 x 126 x 71 x 437 x 85 = 1329196680

Therefore, the lowest common multiple of 504,284,874,340 is 1329196680.

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 284 x 874 x 340 = 42534293760

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

284 : 1, 2, 4, 71, 142, 284

874 : 1, 2, 19, 23, 38, 46, 437, 874

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,284,874,340, is 2.

Now, the common factors can be found like this.

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

284:2x 2x 71

874:2x 19x 23

340:2x 2x 5x 17

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 2 = 16

Therefore, the value for common factors is 16.

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 = 42534293760/(2x16)

LCM = 42534293760/32

LCM = 1329196680

Thus, we can understand that the LCM of 504,284,874,340 is 1329196680.

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

• LCM of 764, 556, 569, 701
• LCM of 314, 553, 650, 602
• LCM of 716, 146, 589, 622
• LCM of 625, 440, 221, 972
• LCM of 403, 397, 610, 803

1. What is the LCM of 504, 284, 874, 340?

Answer: LCM of 504, 284, 874, 340 is 1329196680.

2. How to calculate the LCM of 504, 284, 874, 340?

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, 284, 874, 340.

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}.