LCM of 367, 988, 894, 304, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 988, 894, 304, 448 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 367, 988, 894, 304, 448. So, keep reading to learn more.
Given numbers are 367,988,894,304,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,988,894,304,448 is 18153006144.
Find LCM of 367,988,894,304,448 with Prime Factorization
| 2 | 367, 988, 894, 304, 448 |
| 2 | 367, 494, 447, 152, 224 |
| 2 | 367, 247, 447, 76, 112 |
| 2 | 367, 247, 447, 38, 56 |
| 19 | 367, 247, 447, 19, 28 |
| 367, 13, 447, 1, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 367 x 13 x 447 x 1 x 28 = 18153006144
Therefore, the lowest common multiple of 367,988,894,304,448 is 18153006144.
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.
367 x 988 x 894 x 304 x 448 = 44148110942208
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.
367 : 1, 367
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
894 : 1, 2, 3, 6, 149, 298, 447, 894
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,988,894,304,448, is 1.
Now, the common factors can be found like this.
367:367
988:2x 2x 13x 19
894:2x 3x 149
304:2x 2x 2x 2x 19
448:2x 2x 2x 2x 2x 2x 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 19 = 2432
Therefore, the value for common factors is 2432.
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 = 44148110942208/(1x2432)
LCM = 44148110942208/2432
LCM = 18153006144
Thus, we can understand that the LCM of 367,988,894,304,448 is 18153006144.
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FAQs on LCM of 367, 988, 894, 304, 448
1. What is the LCM of 367, 988, 894, 304, 448?
Answer: LCM of 367, 988, 894, 304, 448 is 18153006144.
2. How to calculate the LCM of 367, 988, 894, 304, 448?
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 367, 988, 894, 304, 448.
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}.