LCM of 208, 412, 754, 892, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 208, 412, 754, 892, 343 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 208, 412, 754, 892, 343. So, keep reading to learn more.
Given numbers are 208,412,754,892,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,412,754,892,343 is 47522309744.
Find LCM of 208,412,754,892,343 with Prime Factorization
| 2 | 208, 412, 754, 892, 343 |
| 2 | 104, 206, 377, 446, 343 |
| 13 | 52, 103, 377, 223, 343 |
| 4, 103, 29, 223, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 4 x 103 x 29 x 223 x 343 = 47522309744
Therefore, the lowest common multiple of 208,412,754,892,343 is 47522309744.
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.
208 x 412 x 754 x 892 x 343 = 19769280853504
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
412 : 1, 2, 4, 103, 206, 412
754 : 1, 2, 13, 26, 29, 58, 377, 754
892 : 1, 2, 4, 223, 446, 892
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,412,754,892,343, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
412:2x 2x 103
754:2x 13x 29
892:2x 2x 223
343:7x 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 13 = 416
Therefore, the value for common factors is 416.
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 = 19769280853504/(1x416)
LCM = 19769280853504/416
LCM = 47522309744
Thus, we can understand that the LCM of 208,412,754,892,343 is 47522309744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 208, 412, 754, 892, 343
1. What is the LCM of 208, 412, 754, 892, 343?
Answer: LCM of 208, 412, 754, 892, 343 is 47522309744.
2. How to calculate the LCM of 208, 412, 754, 892, 343?
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 208, 412, 754, 892, 343.
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}.