LCM of 247, 604, 719, 912, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 604, 719, 912, 214 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 247, 604, 719, 912, 214. So, keep reading to learn more.
Given numbers are 247,604,719,912,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,604,719,912,214 is 137729764848.
Find LCM of 247,604,719,912,214 with Prime Factorization
| 2 | 247, 604, 719, 912, 214 |
| 2 | 247, 302, 719, 456, 107 |
| 19 | 247, 151, 719, 228, 107 |
| 13, 151, 719, 12, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 13 x 151 x 719 x 12 x 107 = 137729764848
Therefore, the lowest common multiple of 247,604,719,912,214 is 137729764848.
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.
247 x 604 x 719 x 912 x 214 = 20934924256896
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.
247 : 1, 13, 19, 247
604 : 1, 2, 4, 151, 302, 604
719 : 1, 719
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,604,719,912,214, is 1.
Now, the common factors can be found like this.
247:13x 19
604:2x 2x 151
719:719
912:2x 2x 2x 2x 3x 19
214:2x 107
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 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 20934924256896/(1x152)
LCM = 20934924256896/152
LCM = 137729764848
Thus, we can understand that the LCM of 247,604,719,912,214 is 137729764848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 604, 719, 912, 214
1. What is the LCM of 247, 604, 719, 912, 214?
Answer: LCM of 247, 604, 719, 912, 214 is 137729764848.
2. How to calculate the LCM of 247, 604, 719, 912, 214?
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 247, 604, 719, 912, 214.
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}.