Given numbers are 835,212,418,742,642

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

The LCM of 835,212,418,742,642 is 83132663460.

Find LCM of 835,212,418,742,642 with Prime Factorization

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

2 x 53 x 835 x 2 x 209 x 7 x 321 = 83132663460

Therefore, the lowest common multiple of 835,212,418,742,642 is 83132663460.

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.

835 x 212 x 418 x 742 x 642 = 35248249307040

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.

835 : 1, 5, 167, 835

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,212,418,742,642, is 1.

Now, the common factors can be found like this.

835:5x 167

212:2x 2x 53

418:2x 11x 19

742:2x 7x 53

642:2x 3x 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 53 = 424

Therefore, the value for common factors is 424.

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 = 35248249307040/(1x424)

LCM = 35248249307040/424

LCM = 83132663460

Thus, we can understand that the LCM of 835,212,418,742,642 is 83132663460.

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

• LCM of 880, 156, 274, 568, 444
• LCM of 175, 304, 282, 390, 671
• LCM of 440, 978, 820, 638, 683
• LCM of 215, 995, 573, 181, 551
• LCM of 543, 210, 929, 473, 922

1. What is the LCM of 835, 212, 418, 742, 642?

Answer: LCM of 835, 212, 418, 742, 642 is 83132663460.

2. How to calculate the LCM of 835, 212, 418, 742, 642?

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 835, 212, 418, 742, 642.

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}.