Given numbers are 728,440,527,112,860

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

The LCM of 728,440,527,112,860 is 1814692880.

Find LCM of 728,440,527,112,860 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 13 x 11 x 527 x 2 x 43 = 1814692880

Therefore, the lowest common multiple of 728,440,527,112,860 is 1814692880.

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 440 x 527 x 112 x 860 = 16259648204800

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

527 : 1, 17, 31, 527

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,440,527,112,860, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

440:2x 2x 2x 5x 11

527:17x 31

112:2x 2x 2x 2x 7

860:2x 2x 5x 43

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 2x 5x 7 = 8960

Therefore, the value for common factors is 8960.

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 = 16259648204800/(1x8960)

LCM = 16259648204800/8960

LCM = 1814692880

Thus, we can understand that the LCM of 728,440,527,112,860 is 1814692880.

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

• LCM of 186, 140, 574, 185, 284
• LCM of 780, 664, 493, 267, 769
• LCM of 416, 471, 888, 992, 569
• LCM of 510, 732, 385, 218, 650
• LCM of 499, 800, 829, 851, 336

1. What is the LCM of 728, 440, 527, 112, 860?

Answer: LCM of 728, 440, 527, 112, 860 is 1814692880.

2. How to calculate the LCM of 728, 440, 527, 112, 860?

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, 440, 527, 112, 860.

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}.