LCM of 172, 108, 802, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 108, 802, 345 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, 108, 802, 345. So, keep reading to learn more.
Given numbers are 172,108,802,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,108,802,345 is 214158060.
Find LCM of 172,108,802,345 with Prime Factorization
| 2 | 172, 108, 802, 345 |
| 2 | 86, 54, 401, 345 |
| 3 | 43, 27, 401, 345 |
| 43, 9, 401, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 9 x 401 x 115 = 214158060
Therefore, the lowest common multiple of 172,108,802,345 is 214158060.
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 108 x 802 x 345 = 5139793440
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
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
802 : 1, 2, 401, 802
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,108,802,345, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
108:2x 2x 3x 3x 3
802:2x 401
345:3x 5x 23
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 3 = 24
Therefore, the value for common factors is 24.
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 = 5139793440/(1x24)
LCM = 5139793440/24
LCM = 214158060
Thus, we can understand that the LCM of 172,108,802,345 is 214158060.
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FAQs on LCM of 172, 108, 802, 345
1. What is the LCM of 172, 108, 802, 345?
Answer: LCM of 172, 108, 802, 345 is 214158060.
2. How to calculate the LCM of 172, 108, 802, 345?
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, 108, 802, 345.
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}.