LCM of 381, 627, 418, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 627, 418, 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 381, 627, 418, 448. So, keep reading to learn more.
Given numbers are 381,627,418,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,627,418,448 is 35673792.
Find LCM of 381,627,418,448 with Prime Factorization
| 2 | 381, 627, 418, 448 |
| 3 | 381, 627, 209, 224 |
| 11 | 127, 209, 209, 224 |
| 19 | 127, 19, 19, 224 |
| 127, 1, 1, 224 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 127 x 1 x 1 x 224 = 35673792
Therefore, the lowest common multiple of 381,627,418,448 is 35673792.
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.
381 x 627 x 418 x 448 = 44734935168
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.
381 : 1, 3, 127, 381
627 : 1, 3, 11, 19, 33, 57, 209, 627
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 381,627,418,448, is 1.
Now, the common factors can be found like this.
381:3x 127
627:3x 11x 19
418:2x 11x 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 3x 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 44734935168/(1x1254)
LCM = 44734935168/1254
LCM = 35673792
Thus, we can understand that the LCM of 381,627,418,448 is 35673792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 627, 418, 448
1. What is the LCM of 381, 627, 418, 448?
Answer: LCM of 381, 627, 418, 448 is 35673792.
2. How to calculate the LCM of 381, 627, 418, 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 381, 627, 418, 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}.