LCM of 628, 949, 228, 471, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 949, 228, 471, 219 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 628, 949, 228, 471, 219. So, keep reading to learn more.
Given numbers are 628,949,228,471,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,949,228,471,219 is 33970404.
Find LCM of 628,949,228,471,219 with Prime Factorization
| 2 | 628, 949, 228, 471, 219 |
| 2 | 314, 949, 114, 471, 219 |
| 3 | 157, 949, 57, 471, 219 |
| 73 | 157, 949, 19, 157, 73 |
| 157 | 157, 13, 19, 157, 1 |
| 1, 13, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 157 x 1 x 13 x 19 x 1 x 1 = 33970404
Therefore, the lowest common multiple of 628,949,228,471,219 is 33970404.
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.
628 x 949 x 228 x 471 x 219 = 14016052808784
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.
628 : 1, 2, 4, 157, 314, 628
949 : 1, 13, 73, 949
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
471 : 1, 3, 157, 471
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,949,228,471,219, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
949:13x 73
228:2x 2x 3x 19
471:3x 157
219:3x 73
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 3x 73x 157 = 412596
Therefore, the value for common factors is 412596.
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 = 14016052808784/(1x412596)
LCM = 14016052808784/412596
LCM = 33970404
Thus, we can understand that the LCM of 628,949,228,471,219 is 33970404.
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FAQs on LCM of 628, 949, 228, 471, 219
1. What is the LCM of 628, 949, 228, 471, 219?
Answer: LCM of 628, 949, 228, 471, 219 is 33970404.
2. How to calculate the LCM of 628, 949, 228, 471, 219?
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 628, 949, 228, 471, 219.
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}.