Given numbers are 728,828,564,260,203

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

The LCM of 728,828,564,260,203 is 1026993240.

Find LCM of 728,828,564,260,203 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 2 x 69 x 47 x 5 x 29 = 1026993240

Therefore, the lowest common multiple of 728,828,564,260,203 is 1026993240.

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.

728 x 828 x 564 x 260 x 203 = 17943625889280

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.

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,828,564,260,203, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

828:2x 2x 3x 3x 23

564:2x 2x 3x 47

260:2x 2x 5x 13

203:7x 29

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 3x 7x 13 = 17472

Therefore, the value for common factors is 17472.

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 = 17943625889280/(1x17472)

LCM = 17943625889280/17472

LCM = 1026993240

Thus, we can understand that the LCM of 728,828,564,260,203 is 1026993240.

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

• LCM of 446, 819, 812, 305, 852
• LCM of 481, 758, 289, 146, 702
• LCM of 865, 368, 936, 375, 517
• LCM of 594, 612, 497, 984, 104
• LCM of 820, 178, 752, 924, 540

1. What is the LCM of 728, 828, 564, 260, 203?

Answer: LCM of 728, 828, 564, 260, 203 is 1026993240.

2. How to calculate the LCM of 728, 828, 564, 260, 203?

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 728, 828, 564, 260, 203.

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}.