Given numbers are 782,750,793,921,288

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

The LCM of 782,750,793,921,288 is 3426816276000.

Find LCM of 782,750,793,921,288 with Prime Factorization

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

2 x 3 x 391 x 125 x 793 x 307 x 48 = 3426816276000

Therefore, the lowest common multiple of 782,750,793,921,288 is 3426816276000.

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.

782 x 750 x 793 x 921 x 288 = 123365385936000

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.

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

793 : 1, 13, 61, 793

921 : 1, 3, 307, 921

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,750,793,921,288, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

750:2x 3x 5x 5x 5

793:13x 61

921:3x 307

288:2x 2x 2x 2x 2x 3x 3

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 123365385936000/(1x36)

LCM = 123365385936000/36

LCM = 3426816276000

Thus, we can understand that the LCM of 782,750,793,921,288 is 3426816276000.

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

• LCM of 425, 881, 788, 926, 665
• LCM of 654, 108, 942, 808, 790
• LCM of 544, 788, 721, 413, 578
• LCM of 787, 889, 200, 802, 568
• LCM of 752, 969, 797, 674, 241

1. What is the LCM of 782, 750, 793, 921, 288?

Answer: LCM of 782, 750, 793, 921, 288 is 3426816276000.

2. How to calculate the LCM of 782, 750, 793, 921, 288?

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 782, 750, 793, 921, 288.

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}.