LCM of 904, 940, 839, 362, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 940, 839, 362, 580 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 904, 940, 839, 362, 580. So, keep reading to learn more.
Given numbers are 904,940,839,362,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,940,839,362,580 is 935566852840.
Find LCM of 904,940,839,362,580 with Prime Factorization
| 2 | 904, 940, 839, 362, 580 |
| 2 | 452, 470, 839, 181, 290 |
| 5 | 226, 235, 839, 181, 145 |
| 226, 47, 839, 181, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 226 x 47 x 839 x 181 x 29 = 935566852840
Therefore, the lowest common multiple of 904,940,839,362,580 is 935566852840.
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.
904 x 940 x 839 x 362 x 580 = 149690696454400
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
839 : 1, 839
362 : 1, 2, 181, 362
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,940,839,362,580, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
940:2x 2x 5x 47
839:839
362:2x 181
580:2x 2x 5x 29
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 5 = 160
Therefore, the value for common factors is 160.
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 = 149690696454400/(1x160)
LCM = 149690696454400/160
LCM = 935566852840
Thus, we can understand that the LCM of 904,940,839,362,580 is 935566852840.
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FAQs on LCM of 904, 940, 839, 362, 580
1. What is the LCM of 904, 940, 839, 362, 580?
Answer: LCM of 904, 940, 839, 362, 580 is 935566852840.
2. How to calculate the LCM of 904, 940, 839, 362, 580?
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 904, 940, 839, 362, 580.
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}.