Find the LCM of 408, 702, 841, 247, 243 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 408, 702, 841, 247, 243. So, keep reading to learn more.
Given numbers are 408,702,841,247,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,702,841,247,243 is 6864961896.
Find LCM of 408,702,841,247,243 with Prime Factorization
2 | 408, 702, 841, 247, 243 |
3 | 204, 351, 841, 247, 243 |
3 | 68, 117, 841, 247, 81 |
3 | 68, 39, 841, 247, 27 |
13 | 68, 13, 841, 247, 9 |
68, 1, 841, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 68 x 1 x 841 x 19 x 9 = 6864961896
Therefore, the lowest common multiple of 408,702,841,247,243 is 6864961896.
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.
408 x 702 x 841 x 247 x 243 = 14457609752976
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
841 : 1, 29, 841
247 : 1, 13, 19, 247
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,702,841,247,243, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
702:2x 3x 3x 3x 13
841:29x 29
247:13x 19
243:3x 3x 3x 3x 3
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 3x 3x 3x 13 = 2106
Therefore, the value for common factors is 2106.
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 = 14457609752976/(1x2106)
LCM = 14457609752976/2106
LCM = 6864961896
Thus, we can understand that the LCM of 408,702,841,247,243 is 6864961896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 702, 841, 247, 243?
Answer: LCM of 408, 702, 841, 247, 243 is 6864961896.
2. How to calculate the LCM of 408, 702, 841, 247, 243?
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 408, 702, 841, 247, 243.
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}.