LCM of 828, 648, 242, 911, 332
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 648, 242, 911, 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 828, 648, 242, 911, 332. So, keep reading to learn more.
Given numbers are 828,648,242,911,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,648,242,911,332 is 136359274392.
Find LCM of 828,648,242,911,332 with Prime Factorization
| 2 | 828, 648, 242, 911, 332 |
| 2 | 414, 324, 121, 911, 166 |
| 3 | 207, 162, 121, 911, 83 |
| 3 | 69, 54, 121, 911, 83 |
| 23, 18, 121, 911, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 18 x 121 x 911 x 83 = 136359274392
Therefore, the lowest common multiple of 828,648,242,911,332 is 136359274392.
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.
828 x 648 x 242 x 911 x 332 = 39271471024896
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
242 : 1, 2, 11, 22, 121, 242
911 : 1, 911
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 828,648,242,911,332, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
648:2x 2x 2x 3x 3x 3x 3
242:2x 11x 11
911:911
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 39271471024896/(1x288)
LCM = 39271471024896/288
LCM = 136359274392
Thus, we can understand that the LCM of 828,648,242,911,332 is 136359274392.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 828, 648, 242, 911, 332
1. What is the LCM of 828, 648, 242, 911, 332?
Answer: LCM of 828, 648, 242, 911, 332 is 136359274392.
2. How to calculate the LCM of 828, 648, 242, 911, 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 828, 648, 242, 911, 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}.