Given numbers are 252,172,728,745,554

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

The LCM of 252,172,728,745,554 is 58140449640.

Find LCM of 252,172,728,745,554 with Prime Factorization

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

2 x 2 x 7 x 9 x 43 x 26 x 745 x 277 = 58140449640

Therefore, the lowest common multiple of 252,172,728,745,554 is 58140449640.

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.

252 x 172 x 728 x 745 x 554 = 13023460719360

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

172 : 1, 2, 4, 43, 86, 172

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

745 : 1, 5, 149, 745

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,172,728,745,554, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

172:2x 2x 43

728:2x 2x 2x 7x 13

745:5x 149

554:2x 277

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 7 = 224

Therefore, the value for common factors is 224.

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 = 13023460719360/(1x224)

LCM = 13023460719360/224

LCM = 58140449640

Thus, we can understand that the LCM of 252,172,728,745,554 is 58140449640.

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

• LCM of 189, 530, 808, 542, 688
• LCM of 300, 743, 655, 591, 397
• LCM of 879, 610, 907, 432, 330
• LCM of 549, 739, 978, 617, 646
• LCM of 967, 584, 333, 298, 662

1. What is the LCM of 252, 172, 728, 745, 554?

Answer: LCM of 252, 172, 728, 745, 554 is 58140449640.

2. How to calculate the LCM of 252, 172, 728, 745, 554?

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 252, 172, 728, 745, 554.

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}.