Find the LCM of 565, 236, 409, 885 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 565, 236, 409, 885. So, keep reading to learn more.
Given numbers are 565,236,409,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,236,409,885 is 163608180.
Find LCM of 565,236,409,885 with Prime Factorization
5 | 565, 236, 409, 885 |
59 | 113, 236, 409, 177 |
113, 4, 409, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 59 x 113 x 4 x 409 x 3 = 163608180
Therefore, the lowest common multiple of 565,236,409,885 is 163608180.
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.
565 x 236 x 409 x 885 = 48264413100
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.
565 : 1, 5, 113, 565
236 : 1, 2, 4, 59, 118, 236
409 : 1, 409
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,236,409,885, is 1.
Now, the common factors can be found like this.
565:5x 113
236:2x 2x 59
409:409
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 59 = 295
Therefore, the value for common factors is 295.
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 = 48264413100/(1x295)
LCM = 48264413100/295
LCM = 163608180
Thus, we can understand that the LCM of 565,236,409,885 is 163608180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 236, 409, 885?
Answer: LCM of 565, 236, 409, 885 is 163608180.
2. How to calculate the LCM of 565, 236, 409, 885?
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 565, 236, 409, 885.
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}.