LCM of 258, 208, 824, 690, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 208, 824, 690, 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 258, 208, 824, 690, 345. So, keep reading to learn more.
Given numbers are 258,208,824,690,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,208,824,690,345 is 317825040.
Find LCM of 258,208,824,690,345 with Prime Factorization
| 2 | 258, 208, 824, 690, 345 |
| 2 | 129, 104, 412, 345, 345 |
| 2 | 129, 52, 206, 345, 345 |
| 3 | 129, 26, 103, 345, 345 |
| 5 | 43, 26, 103, 115, 115 |
| 23 | 43, 26, 103, 23, 23 |
| 43, 26, 103, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 43 x 26 x 103 x 1 x 1 = 317825040
Therefore, the lowest common multiple of 258,208,824,690,345 is 317825040.
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.
258 x 208 x 824 x 690 x 345 = 10526365324800
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
824 : 1, 2, 4, 8, 103, 206, 412, 824
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 258,208,824,690,345, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
208:2x 2x 2x 2x 13
824:2x 2x 2x 103
690:2x 3x 5x 23
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 2x 2x 3x 3x 5x 23 = 33120
Therefore, the value for common factors is 33120.
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 = 10526365324800/(1x33120)
LCM = 10526365324800/33120
LCM = 317825040
Thus, we can understand that the LCM of 258,208,824,690,345 is 317825040.
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FAQs on LCM of 258, 208, 824, 690, 345
1. What is the LCM of 258, 208, 824, 690, 345?
Answer: LCM of 258, 208, 824, 690, 345 is 317825040.
2. How to calculate the LCM of 258, 208, 824, 690, 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 258, 208, 824, 690, 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}.