LCM of 394, 196, 578, 906, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 196, 578, 906, 324 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 394, 196, 578, 906, 324. So, keep reading to learn more.
Given numbers are 394,196,578,906,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,196,578,906,324 is 136484114508.
Find LCM of 394,196,578,906,324 with Prime Factorization
| 2 | 394, 196, 578, 906, 324 |
| 2 | 197, 98, 289, 453, 162 |
| 3 | 197, 49, 289, 453, 81 |
| 197, 49, 289, 151, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 197 x 49 x 289 x 151 x 27 = 136484114508
Therefore, the lowest common multiple of 394,196,578,906,324 is 136484114508.
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.
394 x 196 x 578 x 906 x 324 = 13102474992768
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.
394 : 1, 2, 197, 394
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
578 : 1, 2, 17, 34, 289, 578
906 : 1, 2, 3, 6, 151, 302, 453, 906
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,196,578,906,324, is 2.
Now, the common factors can be found like this.
394:2x 197
196:2x 2x 7x 7
578:2x 17x 17
906:2x 3x 151
324:2x 2x 3x 3x 3x 3
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 3 = 48
Therefore, the value for common factors is 48.
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 = 13102474992768/(2x48)
LCM = 13102474992768/96
LCM = 136484114508
Thus, we can understand that the LCM of 394,196,578,906,324 is 136484114508.
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FAQs on LCM of 394, 196, 578, 906, 324
1. What is the LCM of 394, 196, 578, 906, 324?
Answer: LCM of 394, 196, 578, 906, 324 is 136484114508.
2. How to calculate the LCM of 394, 196, 578, 906, 324?
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 394, 196, 578, 906, 324.
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}.