Find the LCM of 409, 902, 779, 285, 171 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 409, 902, 779, 285, 171. So, keep reading to learn more.
Given numbers are 409,902,779,285,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,902,779,285,171 is 315424890.
Find LCM of 409,902,779,285,171 with Prime Factorization
3 | 409, 902, 779, 285, 171 |
19 | 409, 902, 779, 95, 57 |
41 | 409, 902, 41, 5, 3 |
409, 22, 1, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 41 x 409 x 22 x 1 x 5 x 3 = 315424890
Therefore, the lowest common multiple of 409,902,779,285,171 is 315424890.
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.
409 x 902 x 779 x 285 x 171 = 14005811390670
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.
409 : 1, 409
902 : 1, 2, 11, 22, 41, 82, 451, 902
779 : 1, 19, 41, 779
285 : 1, 3, 5, 15, 19, 57, 95, 285
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,902,779,285,171, is 1.
Now, the common factors can be found like this.
409:409
902:2x 11x 41
779:19x 41
285:3x 5x 19
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 19x 41 = 44403
Therefore, the value for common factors is 44403.
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 = 14005811390670/(1x44403)
LCM = 14005811390670/44403
LCM = 315424890
Thus, we can understand that the LCM of 409,902,779,285,171 is 315424890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 902, 779, 285, 171?
Answer: LCM of 409, 902, 779, 285, 171 is 315424890.
2. How to calculate the LCM of 409, 902, 779, 285, 171?
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 409, 902, 779, 285, 171.
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}.