Given numbers are 372,682,350,128,214

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

The LCM of 372,682,350,128,214 is 2451926400.

Find LCM of 372,682,350,128,214 with Prime Factorization

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

2 x 2 x 31 x 3 x 11 x 175 x 32 x 107 = 2451926400

Therefore, the lowest common multiple of 372,682,350,128,214 is 2451926400.

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.

372 x 682 x 350 x 128 x 214 = 2432310988800

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

682 : 1, 2, 11, 22, 31, 62, 341, 682

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,682,350,128,214, is 2.

Now, the common factors can be found like this.

372:2x 2x 3x 31

682:2x 11x 31

350:2x 5x 5x 7

128:2x 2x 2x 2x 2x 2x 2

214:2x 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 31 = 496

Therefore, the value for common factors is 496.

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 = 2432310988800/(2x496)

LCM = 2432310988800/992

LCM = 2451926400

Thus, we can understand that the LCM of 372,682,350,128,214 is 2451926400.

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

• LCM of 772, 406, 668, 720, 385
• LCM of 697, 103, 969, 318, 593
• LCM of 732, 407, 796, 195, 238
• LCM of 757, 510, 136, 757, 786
• LCM of 309, 108, 273, 902, 375

1. What is the LCM of 372, 682, 350, 128, 214?

Answer: LCM of 372, 682, 350, 128, 214 is 2451926400.

2. How to calculate the LCM of 372, 682, 350, 128, 214?

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 372, 682, 350, 128, 214.

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}.