Given numbers are 917,750,192,212,428

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

The LCM of 917,750,192,212,428 is 124807368000.

Find LCM of 917,750,192,212,428 with Prime Factorization

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

2 x 2 x 3 x 917 x 125 x 16 x 53 x 107 = 124807368000

Therefore, the lowest common multiple of 917,750,192,212,428 is 124807368000.

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.

917 x 750 x 192 x 212 x 428 = 11981507328000

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.

917 : 1, 7, 131, 917

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

212 : 1, 2, 4, 53, 106, 212

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,750,192,212,428, is 1.

Now, the common factors can be found like this.

917:7x 131

750:2x 3x 5x 5x 5

192:2x 2x 2x 2x 2x 2x 3

212:2x 2x 53

428:2x 2x 107

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 3 = 96

Therefore, the value for common factors is 96.

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 = 11981507328000/(1x96)

LCM = 11981507328000/96

LCM = 124807368000

Thus, we can understand that the LCM of 917,750,192,212,428 is 124807368000.

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

• LCM of 184, 987, 679, 950, 323
• LCM of 366, 967, 845, 405, 654
• LCM of 298, 681, 447, 307, 947
• LCM of 465, 905, 441, 357, 760
• LCM of 729, 826, 294, 180, 449

1. What is the LCM of 917, 750, 192, 212, 428?

Answer: LCM of 917, 750, 192, 212, 428 is 124807368000.

2. How to calculate the LCM of 917, 750, 192, 212, 428?

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 917, 750, 192, 212, 428.

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}.