Given numbers are 252,728,543,758,858

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

The LCM of 252,728,543,758,858 is 4944067128.

Find LCM of 252,728,543,758,858 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 3 x 2 x 181 x 379 x 11 = 4944067128

Therefore, the lowest common multiple of 252,728,543,758,858 is 4944067128.

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 728 x 543 x 758 x 858 = 64787055645312

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

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

543 : 1, 3, 181, 543

758 : 1, 2, 379, 758

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,728,543,758,858, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

728:2x 2x 2x 7x 13

543:3x 181

758:2x 379

858:2x 3x 11x 13

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 3x 3x 7x 13 = 13104

Therefore, the value for common factors is 13104.

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 = 64787055645312/(1x13104)

LCM = 64787055645312/13104

LCM = 4944067128

Thus, we can understand that the LCM of 252,728,543,758,858 is 4944067128.

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

• LCM of 198, 324, 297, 568, 161
• LCM of 822, 142, 485, 695, 584
• LCM of 718, 797, 789, 477, 292
• LCM of 443, 451, 139, 117, 298
• LCM of 849, 505, 684, 171, 906

1. What is the LCM of 252, 728, 543, 758, 858?

Answer: LCM of 252, 728, 543, 758, 858 is 4944067128.

2. How to calculate the LCM of 252, 728, 543, 758, 858?

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, 728, 543, 758, 858.

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}.