Given numbers are 504,485,958,984,560

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

The LCM of 504,485,958,984,560 is 9601114320.

Find LCM of 504,485,958,984,560 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 3 x 97 x 479 x 41 x 2 = 9601114320

Therefore, the lowest common multiple of 504,485,958,984,560 is 9601114320.

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 485 x 958 x 984 x 560 = 129038976460800

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

485 : 1, 5, 97, 485

958 : 1, 2, 479, 958

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,485,958,984,560, is 1.

Now, the common factors can be found like this.

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

485:5x 97

958:2x 479

984:2x 2x 2x 3x 41

560:2x 2x 2x 2x 5x 7

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 3x 5x 7 = 13440

Therefore, the value for common factors is 13440.

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 = 129038976460800/(1x13440)

LCM = 129038976460800/13440

LCM = 9601114320

Thus, we can understand that the LCM of 504,485,958,984,560 is 9601114320.

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

• LCM of 481, 218, 926, 992, 146
• LCM of 724, 981, 135, 752, 978
• LCM of 805, 530, 268, 775, 124
• LCM of 925, 604, 860, 865, 342
• LCM of 810, 689, 948, 899, 235

1. What is the LCM of 504, 485, 958, 984, 560?

Answer: LCM of 504, 485, 958, 984, 560 is 9601114320.

2. How to calculate the LCM of 504, 485, 958, 984, 560?

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, 485, 958, 984, 560.

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}.