Given numbers are 864,442,782,350,703

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

The LCM of 864,442,782,350,703 is 540290368800.

Find LCM of 864,442,782,350,703 with Prime Factorization

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

2 x 17 x 432 x 13 x 23 x 175 x 703 = 540290368800

Therefore, the lowest common multiple of 864,442,782,350,703 is 540290368800.

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.

864 x 442 x 782 x 350 x 703 = 73479490156800

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

442 : 1, 2, 13, 17, 26, 34, 221, 442

782 : 1, 2, 17, 23, 34, 46, 391, 782

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,442,782,350,703, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

442:2x 13x 17

782:2x 17x 23

350:2x 5x 5x 7

703:19x 37

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 17 = 136

Therefore, the value for common factors is 136.

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 = 73479490156800/(1x136)

LCM = 73479490156800/136

LCM = 540290368800

Thus, we can understand that the LCM of 864,442,782,350,703 is 540290368800.

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

• LCM of 172, 780, 385, 676, 286
• LCM of 277, 338, 669, 212, 580
• LCM of 811, 249, 416, 605, 530
• LCM of 130, 231, 493, 585, 439
• LCM of 267, 659, 880, 122, 308

1. What is the LCM of 864, 442, 782, 350, 703?

Answer: LCM of 864, 442, 782, 350, 703 is 540290368800.

2. How to calculate the LCM of 864, 442, 782, 350, 703?

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 864, 442, 782, 350, 703.

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}.