Find the LCM of 409, 935, 572, 209 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, 935, 572, 209. So, keep reading to learn more.
Given numbers are 409,935,572,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,935,572,209 is 377826020.
Find LCM of 409,935,572,209 with Prime Factorization
11 | 409, 935, 572, 209 |
409, 85, 52, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 409 x 85 x 52 x 19 = 377826020
Therefore, the lowest common multiple of 409,935,572,209 is 377826020.
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 935 x 572 x 209 = 45716948420
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
935 : 1, 5, 11, 17, 55, 85, 187, 935
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,935,572,209, is 1.
Now, the common factors can be found like this.
409:409
935:5x 11x 17
572:2x 2x 11x 13
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 45716948420/(1x121)
LCM = 45716948420/121
LCM = 377826020
Thus, we can understand that the LCM of 409,935,572,209 is 377826020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 935, 572, 209?
Answer: LCM of 409, 935, 572, 209 is 377826020.
2. How to calculate the LCM of 409, 935, 572, 209?
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, 935, 572, 209.
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}.