Find the LCM of 519, 646, 409, 143, 247 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 519, 646, 409, 143, 247. So, keep reading to learn more.
Given numbers are 519,646,409,143,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,646,409,143,247 is 19609170438.
Find LCM of 519,646,409,143,247 with Prime Factorization
13 | 519, 646, 409, 143, 247 |
19 | 519, 646, 409, 11, 19 |
519, 34, 409, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 519 x 34 x 409 x 11 x 1 = 19609170438
Therefore, the lowest common multiple of 519,646,409,143,247 is 19609170438.
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.
519 x 646 x 409 x 143 x 247 = 4843465098186
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.
519 : 1, 3, 173, 519
646 : 1, 2, 17, 19, 34, 38, 323, 646
409 : 1, 409
143 : 1, 11, 13, 143
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,646,409,143,247, is 1.
Now, the common factors can be found like this.
519:3x 173
646:2x 17x 19
409:409
143:11x 13
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 4843465098186/(1x247)
LCM = 4843465098186/247
LCM = 19609170438
Thus, we can understand that the LCM of 519,646,409,143,247 is 19609170438.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 519, 646, 409, 143, 247?
Answer: LCM of 519, 646, 409, 143, 247 is 19609170438.
2. How to calculate the LCM of 519, 646, 409, 143, 247?
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 519, 646, 409, 143, 247.
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}.