LCM of 397, 228, 494, 382, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 228, 494, 382, 906 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 397, 228, 494, 382, 906. So, keep reading to learn more.
Given numbers are 397,228,494,382,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,228,494,382,906 is 33937435428.
Find LCM of 397,228,494,382,906 with Prime Factorization
| 2 | 397, 228, 494, 382, 906 |
| 3 | 397, 114, 247, 191, 453 |
| 19 | 397, 38, 247, 191, 151 |
| 397, 2, 13, 191, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 397 x 2 x 13 x 191 x 151 = 33937435428
Therefore, the lowest common multiple of 397,228,494,382,906 is 33937435428.
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.
397 x 228 x 494 x 382 x 906 = 15475470555168
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.
397 : 1, 397
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
494 : 1, 2, 13, 19, 26, 38, 247, 494
382 : 1, 2, 191, 382
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,228,494,382,906, is 1.
Now, the common factors can be found like this.
397:397
228:2x 2x 3x 19
494:2x 13x 19
382:2x 191
906:2x 3x 151
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 15475470555168/(1x456)
LCM = 15475470555168/456
LCM = 33937435428
Thus, we can understand that the LCM of 397,228,494,382,906 is 33937435428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 228, 494, 382, 906
1. What is the LCM of 397, 228, 494, 382, 906?
Answer: LCM of 397, 228, 494, 382, 906 is 33937435428.
2. How to calculate the LCM of 397, 228, 494, 382, 906?
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 397, 228, 494, 382, 906.
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}.