Given numbers are 561,728,648,230,544

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

The LCM of 561,728,648,230,544 is 5072427360.

Find LCM of 561,728,648,230,544 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 11 x 91 x 27 x 115 x 4 = 5072427360

Therefore, the lowest common multiple of 561,728,648,230,544 is 5072427360.

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.

561 x 728 x 648 x 230 x 544 = 33112805806080

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

230 : 1, 2, 5, 10, 23, 46, 115, 230

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,728,648,230,544, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

728:2x 2x 2x 7x 13

648:2x 2x 2x 3x 3x 3x 3

230:2x 5x 23

544:2x 2x 2x 2x 2x 17

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 17 = 6528

Therefore, the value for common factors is 6528.

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 = 33112805806080/(1x6528)

LCM = 33112805806080/6528

LCM = 5072427360

Thus, we can understand that the LCM of 561,728,648,230,544 is 5072427360.

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

• LCM of 471, 634, 730, 981, 718
• LCM of 613, 338, 616, 632, 516
• LCM of 228, 410, 805, 716, 635
• LCM of 785, 715, 750, 569, 812
• LCM of 998, 211, 598, 870, 456

1. What is the LCM of 561, 728, 648, 230, 544?

Answer: LCM of 561, 728, 648, 230, 544 is 5072427360.

2. How to calculate the LCM of 561, 728, 648, 230, 544?

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 561, 728, 648, 230, 544.

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}.