Find the LCM of 409, 409, 155, 938, 831 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, 409, 155, 938, 831. So, keep reading to learn more.
Given numbers are 409,409,155,938,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,409,155,938,831 is 49415007810.
Find LCM of 409,409,155,938,831 with Prime Factorization
409 | 409, 409, 155, 938, 831 |
1, 1, 155, 938, 831 |
Multiply the prime numbers at the bottom and the left side.
409 x 1 x 1 x 155 x 938 x 831 = 49415007810
Therefore, the lowest common multiple of 409,409,155,938,831 is 49415007810.
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 409 x 155 x 938 x 831 = 20210738194290
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
409 : 1, 409
155 : 1, 5, 31, 155
938 : 1, 2, 7, 14, 67, 134, 469, 938
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,409,155,938,831, is 1.
Now, the common factors can be found like this.
409:409
409:409
155:5x 31
938:2x 7x 67
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
409 = 409
Therefore, the value for common factors is 409.
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 = 20210738194290/(1x409)
LCM = 20210738194290/409
LCM = 49415007810
Thus, we can understand that the LCM of 409,409,155,938,831 is 49415007810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 409, 155, 938, 831?
Answer: LCM of 409, 409, 155, 938, 831 is 49415007810.
2. How to calculate the LCM of 409, 409, 155, 938, 831?
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, 409, 155, 938, 831.
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}.