LCM of 172, 475, 129, 845, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 475, 129, 845, 156 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 172, 475, 129, 845, 156. So, keep reading to learn more.
Given numbers are 172,475,129,845,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,475,129,845,156 is 41421900.
Find LCM of 172,475,129,845,156 with Prime Factorization
| 2 | 172, 475, 129, 845, 156 |
| 2 | 86, 475, 129, 845, 78 |
| 3 | 43, 475, 129, 845, 39 |
| 5 | 43, 475, 43, 845, 13 |
| 13 | 43, 95, 43, 169, 13 |
| 43 | 43, 95, 43, 1, 13 |
| 1, 95, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 43 x 1 x 95 x 1 x 1 x 13 = 41421900
Therefore, the lowest common multiple of 172,475,129,845,156 is 41421900.
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.
172 x 475 x 129 x 845 x 156 = 1389290526000
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.
172 : 1, 2, 4, 43, 86, 172
475 : 1, 5, 19, 25, 95, 475
129 : 1, 3, 43, 129
845 : 1, 5, 13, 65, 169, 845
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,475,129,845,156, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
475:5x 5x 19
129:3x 43
845:5x 13x 13
156:2x 2x 3x 13
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 13x 43 = 33540
Therefore, the value for common factors is 33540.
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 = 1389290526000/(1x33540)
LCM = 1389290526000/33540
LCM = 41421900
Thus, we can understand that the LCM of 172,475,129,845,156 is 41421900.
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FAQs on LCM of 172, 475, 129, 845, 156
1. What is the LCM of 172, 475, 129, 845, 156?
Answer: LCM of 172, 475, 129, 845, 156 is 41421900.
2. How to calculate the LCM of 172, 475, 129, 845, 156?
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 172, 475, 129, 845, 156.
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}.