Given numbers are 504,221,115,984

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

The LCM of 504,221,115,984 is 525175560.

Find LCM of 504,221,115,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 221 x 115 x 41 = 525175560

Therefore, the lowest common multiple of 504,221,115,984 is 525175560.

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 221 x 115 x 984 = 12604213440

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

221 : 1, 13, 17, 221

115 : 1, 5, 23, 115

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,221,115,984, is 1.

Now, the common factors can be found like this.

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

221:13x 17

115:5x 23

984:2x 2x 2x 3x 41

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12604213440/(1x24)

LCM = 12604213440/24

LCM = 525175560

Thus, we can understand that the LCM of 504,221,115,984 is 525175560.

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

• LCM of 187, 247, 187, 386
• LCM of 802, 219, 497, 166
• LCM of 366, 872, 225, 903
• LCM of 105, 373, 988, 603
• LCM of 926, 196, 922, 978

1. What is the LCM of 504, 221, 115, 984?

Answer: LCM of 504, 221, 115, 984 is 525175560.

2. How to calculate the LCM of 504, 221, 115, 984?

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, 221, 115, 984.

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}.