Given numbers are 382,212,701,742

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

The LCM of 382,212,701,742 is 198694244.

Find LCM of 382,212,701,742 with Prime Factorization

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

2 x 53 x 191 x 2 x 701 x 7 = 198694244

Therefore, the lowest common multiple of 382,212,701,742 is 198694244.

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 212 x 701 x 742 = 42123179728

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

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

701 : 1, 701

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,212,701,742, is 1.

Now, the common factors can be found like this.

382:2x 191

212:2x 2x 53

701:701

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.

2x 2x 53 = 212

Therefore, the value for common factors is 212.

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 = 42123179728/(1x212)

LCM = 42123179728/212

LCM = 198694244

Thus, we can understand that the LCM of 382,212,701,742 is 198694244.

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

• LCM of 168, 789, 160, 255
• LCM of 343, 118, 326, 789
• LCM of 571, 891, 202, 277
• LCM of 936, 383, 831, 573
• LCM of 253, 129, 333, 692

1. What is the LCM of 382, 212, 701, 742?

Answer: LCM of 382, 212, 701, 742 is 198694244.

2. How to calculate the LCM of 382, 212, 701, 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, 212, 701, 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}.