Find the LCM of 228, 638, 487, 723, 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 228, 638, 487, 723, 247. So, keep reading to learn more.
Given numbers are 228,638,487,723,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,638,487,723,247 is 110972376372.
Find LCM of 228,638,487,723,247 with Prime Factorization
2 | 228, 638, 487, 723, 247 |
3 | 114, 319, 487, 723, 247 |
19 | 38, 319, 487, 241, 247 |
2, 319, 487, 241, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 2 x 319 x 487 x 241 x 13 = 110972376372
Therefore, the lowest common multiple of 228,638,487,723,247 is 110972376372.
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.
228 x 638 x 487 x 723 x 247 = 12650850906408
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
638 : 1, 2, 11, 22, 29, 58, 319, 638
487 : 1, 487
723 : 1, 3, 241, 723
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,638,487,723,247, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
638:2x 11x 29
487:487
723:3x 241
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.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 12650850906408/(1x114)
LCM = 12650850906408/114
LCM = 110972376372
Thus, we can understand that the LCM of 228,638,487,723,247 is 110972376372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 228, 638, 487, 723, 247?
Answer: LCM of 228, 638, 487, 723, 247 is 110972376372.
2. How to calculate the LCM of 228, 638, 487, 723, 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 228, 638, 487, 723, 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}.