Given numbers are 728,546,257,595,868

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

The LCM of 728,546,257,595,868 is 1478993880.

Find LCM of 728,546,257,595,868 with Prime Factorization

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

2 x 2 x 7 x 13 x 2 x 3 x 257 x 85 x 31 = 1478993880

Therefore, the lowest common multiple of 728,546,257,595,868 is 1478993880.

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 546 x 257 x 595 x 868 = 52758669687360

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

257 : 1, 257

595 : 1, 5, 7, 17, 35, 85, 119, 595

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,546,257,595,868, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

546:2x 3x 7x 13

257:257

595:5x 7x 17

868:2x 2x 7x 31

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 7x 7x 7x 13 = 35672

Therefore, the value for common factors is 35672.

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 = 52758669687360/(1x35672)

LCM = 52758669687360/35672

LCM = 1478993880

Thus, we can understand that the LCM of 728,546,257,595,868 is 1478993880.

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

• LCM of 266, 299, 668, 202, 139
• LCM of 755, 157, 524, 786, 439
• LCM of 922, 814, 121, 908, 111
• LCM of 235, 606, 529, 656, 706
• LCM of 281, 391, 594, 387, 761

1. What is the LCM of 728, 546, 257, 595, 868?

Answer: LCM of 728, 546, 257, 595, 868 is 1478993880.

2. How to calculate the LCM of 728, 546, 257, 595, 868?

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, 546, 257, 595, 868.

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}.