Given numbers are 504,639,804,975,171

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

The LCM of 504,639,804,975,171 is 14804735400.

Find LCM of 504,639,804,975,171 with Prime Factorization

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

2 x 2 x 3 x 3 x 14 x 71 x 67 x 325 x 19 = 14804735400

Therefore, the lowest common multiple of 504,639,804,975,171 is 14804735400.

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 639 x 804 x 975 x 171 = 43170608426400

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

639 : 1, 3, 9, 71, 213, 639

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

171 : 1, 3, 9, 19, 57, 171

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,639,804,975,171, is 3.

Now, the common factors can be found like this.

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

639:3x 3x 71

804:2x 2x 3x 67

975:3x 5x 5x 13

171:3x 3x 19

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 43170608426400/(3x972)

LCM = 43170608426400/2916

LCM = 14804735400

Thus, we can understand that the LCM of 504,639,804,975,171 is 14804735400.

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

• LCM of 732, 254, 799, 282, 129
• LCM of 176, 510, 544, 710, 897
• LCM of 927, 926, 663, 121, 592
• LCM of 214, 527, 146, 801, 729
• LCM of 453, 728, 199, 928, 830

1. What is the LCM of 504, 639, 804, 975, 171?

Answer: LCM of 504, 639, 804, 975, 171 is 14804735400.

2. How to calculate the LCM of 504, 639, 804, 975, 171?

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, 639, 804, 975, 171.

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}.