LCM of 172, 957, 102, 456, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 957, 102, 456, 519 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, 957, 102, 456, 519. So, keep reading to learn more.
Given numbers are 172,957,102,456,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,957,102,456,519 is 18395813832.
Find LCM of 172,957,102,456,519 with Prime Factorization
| 2 | 172, 957, 102, 456, 519 |
| 2 | 86, 957, 51, 228, 519 |
| 3 | 43, 957, 51, 114, 519 |
| 43, 319, 17, 38, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 319 x 17 x 38 x 173 = 18395813832
Therefore, the lowest common multiple of 172,957,102,456,519 is 18395813832.
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 957 x 102 x 456 x 519 = 3973495787712
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
102 : 1, 2, 3, 6, 17, 34, 51, 102
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,957,102,456,519, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
957:3x 11x 29
102:2x 3x 17
456:2x 2x 2x 3x 19
519:3x 173
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 3973495787712/(1x216)
LCM = 3973495787712/216
LCM = 18395813832
Thus, we can understand that the LCM of 172,957,102,456,519 is 18395813832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 172, 957, 102, 456, 519
1. What is the LCM of 172, 957, 102, 456, 519?
Answer: LCM of 172, 957, 102, 456, 519 is 18395813832.
2. How to calculate the LCM of 172, 957, 102, 456, 519?
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, 957, 102, 456, 519.
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}.