LCM of 814, 972, 186, 465, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 972, 186, 465, 329 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 814, 972, 186, 465, 329. So, keep reading to learn more.
Given numbers are 814,972,186,465,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,972,186,465,329 is 20173825980.
Find LCM of 814,972,186,465,329 with Prime Factorization
| 2 | 814, 972, 186, 465, 329 |
| 3 | 407, 486, 93, 465, 329 |
| 31 | 407, 162, 31, 155, 329 |
| 407, 162, 1, 5, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 407 x 162 x 1 x 5 x 329 = 20173825980
Therefore, the lowest common multiple of 814,972,186,465,329 is 20173825980.
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.
814 x 972 x 186 x 465 x 329 = 22513989793680
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
186 : 1, 2, 3, 6, 31, 62, 93, 186
465 : 1, 3, 5, 15, 31, 93, 155, 465
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,972,186,465,329, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
972:2x 2x 3x 3x 3x 3x 3
186:2x 3x 31
465:3x 5x 31
329:7x 47
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 31 = 1116
Therefore, the value for common factors is 1116.
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 = 22513989793680/(1x1116)
LCM = 22513989793680/1116
LCM = 20173825980
Thus, we can understand that the LCM of 814,972,186,465,329 is 20173825980.
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FAQs on LCM of 814, 972, 186, 465, 329
1. What is the LCM of 814, 972, 186, 465, 329?
Answer: LCM of 814, 972, 186, 465, 329 is 20173825980.
2. How to calculate the LCM of 814, 972, 186, 465, 329?
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 814, 972, 186, 465, 329.
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}.