LCM of 247, 463, 772, 228, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 463, 772, 228, 709 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, 463, 772, 228, 709. So, keep reading to learn more.
Given numbers are 247,463,772,228,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,463,772,228,709 is 187785793884.
Find LCM of 247,463,772,228,709 with Prime Factorization
| 2 | 247, 463, 772, 228, 709 |
| 2 | 247, 463, 386, 114, 709 |
| 19 | 247, 463, 193, 57, 709 |
| 13, 463, 193, 3, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 13 x 463 x 193 x 3 x 709 = 187785793884
Therefore, the lowest common multiple of 247,463,772,228,709 is 187785793884.
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 463 x 772 x 228 x 709 = 14271720335184
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
463 : 1, 463
772 : 1, 2, 4, 193, 386, 772
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,463,772,228,709, is 1.
Now, the common factors can be found like this.
247:13x 19
463:463
772:2x 2x 193
228:2x 2x 3x 19
709:709
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 19 = 76
Therefore, the value for common factors is 76.
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 = 14271720335184/(1x76)
LCM = 14271720335184/76
LCM = 187785793884
Thus, we can understand that the LCM of 247,463,772,228,709 is 187785793884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 463, 772, 228, 709
1. What is the LCM of 247, 463, 772, 228, 709?
Answer: LCM of 247, 463, 772, 228, 709 is 187785793884.
2. How to calculate the LCM of 247, 463, 772, 228, 709?
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, 463, 772, 228, 709.
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}.