Given numbers are 728,689,986,858,310

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

The LCM of 728,689,986,858,310 is 97297079880.

Find LCM of 728,689,986,858,310 with Prime Factorization

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

2 x 13 x 28 x 53 x 493 x 33 x 155 = 97297079880

Therefore, the lowest common multiple of 728,689,986,858,310 is 97297079880.

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 689 x 986 x 858 x 310 = 131545651997760

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

689 : 1, 13, 53, 689

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,689,986,858,310, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

689:13x 53

986:2x 17x 29

858:2x 3x 11x 13

310:2x 5x 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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 131545651997760/(1x1352)

LCM = 131545651997760/1352

LCM = 97297079880

Thus, we can understand that the LCM of 728,689,986,858,310 is 97297079880.

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

• LCM of 425, 148, 268, 468, 693
• LCM of 197, 493, 848, 139, 958
• LCM of 558, 641, 354, 628, 338
• LCM of 463, 976, 632, 921, 461
• LCM of 889, 421, 988, 148, 309

1. What is the LCM of 728, 689, 986, 858, 310?

Answer: LCM of 728, 689, 986, 858, 310 is 97297079880.

2. How to calculate the LCM of 728, 689, 986, 858, 310?

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, 689, 986, 858, 310.

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}.