LCM of 238, 217, 900, 443, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 217, 900, 443, 570 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 238, 217, 900, 443, 570. So, keep reading to learn more.
Given numbers are 238,217,900,443,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,217,900,443,570 is 27945281700.
Find LCM of 238,217,900,443,570 with Prime Factorization
| 2 | 238, 217, 900, 443, 570 |
| 3 | 119, 217, 450, 443, 285 |
| 5 | 119, 217, 150, 443, 95 |
| 7 | 119, 217, 30, 443, 19 |
| 17, 31, 30, 443, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 31 x 30 x 443 x 19 = 27945281700
Therefore, the lowest common multiple of 238,217,900,443,570 is 27945281700.
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.
238 x 217 x 900 x 443 x 570 = 11737018314000
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
217 : 1, 7, 31, 217
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
443 : 1, 443
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,217,900,443,570, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
217:7x 31
900:2x 2x 3x 3x 5x 5
443:443
570:2x 3x 5x 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 2x 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 11737018314000/(1x420)
LCM = 11737018314000/420
LCM = 27945281700
Thus, we can understand that the LCM of 238,217,900,443,570 is 27945281700.
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FAQs on LCM of 238, 217, 900, 443, 570
1. What is the LCM of 238, 217, 900, 443, 570?
Answer: LCM of 238, 217, 900, 443, 570 is 27945281700.
2. How to calculate the LCM of 238, 217, 900, 443, 570?
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 238, 217, 900, 443, 570.
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}.