Given numbers are 504,171,472,194,608

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

The LCM of 504,171,472,194,608 is 219213792.

Find LCM of 504,171,472,194,608 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 19 x 7 x 1 x 59 x 97 x 4 = 219213792

Therefore, the lowest common multiple of 504,171,472,194,608 is 219213792.

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 171 x 472 x 194 x 608 = 4798151479296

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

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

194 : 1, 2, 97, 194

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,171,472,194,608, is 1.

Now, the common factors can be found like this.

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

171:3x 3x 19

472:2x 2x 2x 59

194:2x 97

608:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 3x 3x 19 = 21888

Therefore, the value for common factors is 21888.

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 = 4798151479296/(1x21888)

LCM = 4798151479296/21888

LCM = 219213792

Thus, we can understand that the LCM of 504,171,472,194,608 is 219213792.

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

• LCM of 881, 992, 909, 772, 410
• LCM of 894, 455, 847, 427, 266
• LCM of 298, 885, 688, 122, 657
• LCM of 645, 152, 839, 331, 311
• LCM of 777, 587, 893, 917, 257

1. What is the LCM of 504, 171, 472, 194, 608?

Answer: LCM of 504, 171, 472, 194, 608 is 219213792.

2. How to calculate the LCM of 504, 171, 472, 194, 608?

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, 171, 472, 194, 608.

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}.