Given numbers are 382,120,742

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

The LCM of 382,120,742 is 8503320.

Find LCM of 382,120,742 with Prime Factorization

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

2 x 191 x 60 x 371 = 8503320

Therefore, the lowest common multiple of 382,120,742 is 8503320.

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.

382 x 120 x 742 = 34013280

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.

382 : 1, 2, 191, 382

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,120,742, is 2.

Now, the common factors can be found like this.

382:2x 191

120:2x 2x 2x 3x 5

742:2x 7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 34013280/(2x2)

LCM = 34013280/4

LCM = 8503320

Thus, we can understand that the LCM of 382,120,742 is 8503320.

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

• LCM of 867, 767, 475
• LCM of 470, 554, 886
• LCM of 632, 398, 134
• LCM of 391, 789, 548
• LCM of 764, 639, 340

1. What is the LCM of 382, 120, 742?

Answer: LCM of 382, 120, 742 is 8503320.

2. How to calculate the LCM of 382, 120, 742?

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 382, 120, 742.

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}.