LCM of 847, 221, 122, 364, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 221, 122, 364, 712 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 847, 221, 122, 364, 712. So, keep reading to learn more.
Given numbers are 847,221,122,364,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,221,122,364,712 is 8129905784.
Find LCM of 847,221,122,364,712 with Prime Factorization
| 2 | 847, 221, 122, 364, 712 |
| 2 | 847, 221, 61, 182, 356 |
| 7 | 847, 221, 61, 91, 178 |
| 13 | 121, 221, 61, 13, 178 |
| 121, 17, 61, 1, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 121 x 17 x 61 x 1 x 178 = 8129905784
Therefore, the lowest common multiple of 847,221,122,364,712 is 8129905784.
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.
847 x 221 x 122 x 364 x 712 = 5918571410752
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.
847 : 1, 7, 11, 77, 121, 847
221 : 1, 13, 17, 221
122 : 1, 2, 61, 122
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,221,122,364,712, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
221:13x 17
122:2x 61
364:2x 2x 7x 13
712:2x 2x 2x 89
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 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 5918571410752/(1x728)
LCM = 5918571410752/728
LCM = 8129905784
Thus, we can understand that the LCM of 847,221,122,364,712 is 8129905784.
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FAQs on LCM of 847, 221, 122, 364, 712
1. What is the LCM of 847, 221, 122, 364, 712?
Answer: LCM of 847, 221, 122, 364, 712 is 8129905784.
2. How to calculate the LCM of 847, 221, 122, 364, 712?
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 847, 221, 122, 364, 712.
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}.