Find the LCM of 655, 589, 381, 429, 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 655, 589, 381, 429, 247. So, keep reading to learn more.
Given numbers are 655,589,381,429,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,589,381,429,247 is 21019268985.
Find LCM of 655,589,381,429,247 with Prime Factorization
3 | 655, 589, 381, 429, 247 |
13 | 655, 589, 127, 143, 247 |
19 | 655, 589, 127, 11, 19 |
655, 31, 127, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 655 x 31 x 127 x 11 x 1 = 21019268985
Therefore, the lowest common multiple of 655,589,381,429,247 is 21019268985.
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.
655 x 589 x 381 x 429 x 247 = 15575278317885
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.
655 : 1, 5, 131, 655
589 : 1, 19, 31, 589
381 : 1, 3, 127, 381
429 : 1, 3, 11, 13, 33, 39, 143, 429
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,589,381,429,247, is 1.
Now, the common factors can be found like this.
655:5x 131
589:19x 31
381:3x 127
429:3x 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.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 15575278317885/(1x741)
LCM = 15575278317885/741
LCM = 21019268985
Thus, we can understand that the LCM of 655,589,381,429,247 is 21019268985.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 589, 381, 429, 247?
Answer: LCM of 655, 589, 381, 429, 247 is 21019268985.
2. How to calculate the LCM of 655, 589, 381, 429, 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 655, 589, 381, 429, 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}.