LCM of 170, 928, 992, 612, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 928, 992, 612, 162 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 170, 928, 992, 612, 162. So, keep reading to learn more.
Given numbers are 170,928,992,612,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,928,992,612,162 is 198067680.
Find LCM of 170,928,992,612,162 with Prime Factorization
| 2 | 170, 928, 992, 612, 162 |
| 2 | 85, 464, 496, 306, 81 |
| 2 | 85, 232, 248, 153, 81 |
| 2 | 85, 116, 124, 153, 81 |
| 2 | 85, 58, 62, 153, 81 |
| 3 | 85, 29, 31, 153, 81 |
| 3 | 85, 29, 31, 51, 27 |
| 17 | 85, 29, 31, 17, 9 |
| 5, 29, 31, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 5 x 29 x 31 x 1 x 9 = 198067680
Therefore, the lowest common multiple of 170,928,992,612,162 is 198067680.
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.
170 x 928 x 992 x 612 x 162 = 15515829780480
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,928,992,612,162, is 2.
Now, the common factors can be found like this.
170:2x 5x 17
928:2x 2x 2x 2x 2x 29
992:2x 2x 2x 2x 2x 31
612:2x 2x 3x 3x 17
162:2x 3x 3x 3x 3
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 2x 2x 2x 2x 2x 3x 3x 17 = 39168
Therefore, the value for common factors is 39168.
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 = 15515829780480/(2x39168)
LCM = 15515829780480/78336
LCM = 198067680
Thus, we can understand that the LCM of 170,928,992,612,162 is 198067680.
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FAQs on LCM of 170, 928, 992, 612, 162
1. What is the LCM of 170, 928, 992, 612, 162?
Answer: LCM of 170, 928, 992, 612, 162 is 198067680.
2. How to calculate the LCM of 170, 928, 992, 612, 162?
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 170, 928, 992, 612, 162.
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}.