Find the LCM of 243, 697, 822, 697, 922 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 243, 697, 822, 697, 922. So, keep reading to learn more.
Given numbers are 243,697,822,697,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,697,822,697,922 is 21393928494.
Find LCM of 243,697,822,697,922 with Prime Factorization
2 | 243, 697, 822, 697, 922 |
3 | 243, 697, 411, 697, 461 |
17 | 81, 697, 137, 697, 461 |
41 | 81, 41, 137, 41, 461 |
81, 1, 137, 1, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 41 x 81 x 1 x 137 x 1 x 461 = 21393928494
Therefore, the lowest common multiple of 243,697,822,697,922 is 21393928494.
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.
243 x 697 x 822 x 697 x 922 = 89469408961908
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.
243 : 1, 3, 9, 27, 81, 243
697 : 1, 17, 41, 697
822 : 1, 2, 3, 6, 137, 274, 411, 822
697 : 1, 17, 41, 697
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,697,822,697,922, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
697:17x 41
822:2x 3x 137
697:17x 41
922:2x 461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 41 = 4182
Therefore, the value for common factors is 4182.
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 = 89469408961908/(1x4182)
LCM = 89469408961908/4182
LCM = 21393928494
Thus, we can understand that the LCM of 243,697,822,697,922 is 21393928494.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 243, 697, 822, 697, 922?
Answer: LCM of 243, 697, 822, 697, 922 is 21393928494.
2. How to calculate the LCM of 243, 697, 822, 697, 922?
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 243, 697, 822, 697, 922.
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}.