LCM of 604, 285, 838, 255, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 285, 838, 255, 381 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 604, 285, 838, 255, 381. So, keep reading to learn more.
Given numbers are 604,285,838,255,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,285,838,255,381 is 155721458940.
Find LCM of 604,285,838,255,381 with Prime Factorization
| 2 | 604, 285, 838, 255, 381 |
| 3 | 302, 285, 419, 255, 381 |
| 5 | 302, 95, 419, 85, 127 |
| 302, 19, 419, 17, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 302 x 19 x 419 x 17 x 127 = 155721458940
Therefore, the lowest common multiple of 604,285,838,255,381 is 155721458940.
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.
604 x 285 x 838 x 255 x 381 = 14014931304600
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.
604 : 1, 2, 4, 151, 302, 604
285 : 1, 3, 5, 15, 19, 57, 95, 285
838 : 1, 2, 419, 838
255 : 1, 3, 5, 15, 17, 51, 85, 255
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,285,838,255,381, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
285:3x 5x 19
838:2x 419
255:3x 5x 17
381:3x 127
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 14014931304600/(1x90)
LCM = 14014931304600/90
LCM = 155721458940
Thus, we can understand that the LCM of 604,285,838,255,381 is 155721458940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 285, 838, 255, 381
1. What is the LCM of 604, 285, 838, 255, 381?
Answer: LCM of 604, 285, 838, 255, 381 is 155721458940.
2. How to calculate the LCM of 604, 285, 838, 255, 381?
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 604, 285, 838, 255, 381.
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}.