LCM of 726, 742, 906, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 742, 906, 212 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 726, 742, 906, 212. So, keep reading to learn more.
Given numbers are 726,742,906,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,742,906,212 is 81342492.
Find LCM of 726,742,906,212 with Prime Factorization
| 2 | 726, 742, 906, 212 |
| 3 | 363, 371, 453, 106 |
| 53 | 121, 371, 151, 106 |
| 121, 7, 151, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 121 x 7 x 151 x 2 = 81342492
Therefore, the lowest common multiple of 726,742,906,212 is 81342492.
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.
726 x 742 x 906 x 212 = 103467649824
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
742 : 1, 2, 7, 14, 53, 106, 371, 742
906 : 1, 2, 3, 6, 151, 302, 453, 906
212 : 1, 2, 4, 53, 106, 212
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,742,906,212, is 2.
Now, the common factors can be found like this.
726:2x 3x 11x 11
742:2x 7x 53
906:2x 3x 151
212:2x 2x 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 3x 53 = 636
Therefore, the value for common factors is 636.
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 = 103467649824/(2x636)
LCM = 103467649824/1272
LCM = 81342492
Thus, we can understand that the LCM of 726,742,906,212 is 81342492.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 726, 742, 906, 212
1. What is the LCM of 726, 742, 906, 212?
Answer: LCM of 726, 742, 906, 212 is 81342492.
2. How to calculate the LCM of 726, 742, 906, 212?
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 726, 742, 906, 212.
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}.