LCM of 443, 838, 726, 152, 332
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 838, 726, 152, 332 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 443, 838, 726, 152, 332. So, keep reading to learn more.
Given numbers are 443,838,726,152,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,838,726,152,332 is 850053098136.
Find LCM of 443,838,726,152,332 with Prime Factorization
| 2 | 443, 838, 726, 152, 332 |
| 2 | 443, 419, 363, 76, 166 |
| 443, 419, 363, 38, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 443 x 419 x 363 x 38 x 83 = 850053098136
Therefore, the lowest common multiple of 443,838,726,152,332 is 850053098136.
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.
443 x 838 x 726 x 152 x 332 = 13600849570176
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.
443 : 1, 443
838 : 1, 2, 419, 838
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
152 : 1, 2, 4, 8, 19, 38, 76, 152
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,838,726,152,332, is 1.
Now, the common factors can be found like this.
443:443
838:2x 419
726:2x 3x 11x 11
152:2x 2x 2x 19
332:2x 2x 83
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 2 = 16
Therefore, the value for common factors is 16.
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 = 13600849570176/(1x16)
LCM = 13600849570176/16
LCM = 850053098136
Thus, we can understand that the LCM of 443,838,726,152,332 is 850053098136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 443, 838, 726, 152, 332
1. What is the LCM of 443, 838, 726, 152, 332?
Answer: LCM of 443, 838, 726, 152, 332 is 850053098136.
2. How to calculate the LCM of 443, 838, 726, 152, 332?
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 443, 838, 726, 152, 332.
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}.