Given numbers are 374,208,750,726,112

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

The LCM of 374,208,750,726,112 is 1123122000.

Find LCM of 374,208,750,726,112 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 17 x 13 x 125 x 11 x 7 = 1123122000

Therefore, the lowest common multiple of 374,208,750,726,112 is 1123122000.

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.

374 x 208 x 750 x 726 x 112 = 4744067328000

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,208,750,726,112, is 2.

Now, the common factors can be found like this.

374:2x 11x 17

208:2x 2x 2x 2x 13

750:2x 3x 5x 5x 5

726:2x 3x 11x 11

112:2x 2x 2x 2x 7

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 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 4744067328000/(2x2112)

LCM = 4744067328000/4224

LCM = 1123122000

Thus, we can understand that the LCM of 374,208,750,726,112 is 1123122000.

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

• LCM of 585, 613, 328, 514, 844
• LCM of 209, 868, 156, 639, 878
• LCM of 488, 680, 883, 475, 872
• LCM of 626, 758, 116, 419, 495
• LCM of 923, 106, 131, 428, 307

1. What is the LCM of 374, 208, 750, 726, 112?

Answer: LCM of 374, 208, 750, 726, 112 is 1123122000.

2. How to calculate the LCM of 374, 208, 750, 726, 112?

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 374, 208, 750, 726, 112.

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}.