LCM of 232, 784, 488, 973, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 784, 488, 973, 686 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 232, 784, 488, 973, 686. So, keep reading to learn more.
Given numbers are 232,784,488,973,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,784,488,973,686 is 1349449808.
Find LCM of 232,784,488,973,686 with Prime Factorization
| 2 | 232, 784, 488, 973, 686 |
| 2 | 116, 392, 244, 973, 343 |
| 2 | 58, 196, 122, 973, 343 |
| 7 | 29, 98, 61, 973, 343 |
| 7 | 29, 14, 61, 139, 49 |
| 29, 2, 61, 139, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 7 x 29 x 2 x 61 x 139 x 7 = 1349449808
Therefore, the lowest common multiple of 232,784,488,973,686 is 1349449808.
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.
232 x 784 x 488 x 973 x 686 = 59246244370432
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
488 : 1, 2, 4, 8, 61, 122, 244, 488
973 : 1, 7, 139, 973
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,784,488,973,686, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
784:2x 2x 2x 2x 7x 7
488:2x 2x 2x 61
973:7x 139
686:2x 7x 7x 7
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 7x 7x 7 = 43904
Therefore, the value for common factors is 43904.
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 = 59246244370432/(1x43904)
LCM = 59246244370432/43904
LCM = 1349449808
Thus, we can understand that the LCM of 232,784,488,973,686 is 1349449808.
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FAQs on LCM of 232, 784, 488, 973, 686
1. What is the LCM of 232, 784, 488, 973, 686?
Answer: LCM of 232, 784, 488, 973, 686 is 1349449808.
2. How to calculate the LCM of 232, 784, 488, 973, 686?
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 232, 784, 488, 973, 686.
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}.