LCM of 938, 904, 344, 990, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 904, 344, 990, 418 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 938, 904, 344, 990, 418. So, keep reading to learn more.
Given numbers are 938,904,344,990,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,904,344,990,418 is 171462254040.
Find LCM of 938,904,344,990,418 with Prime Factorization
| 2 | 938, 904, 344, 990, 418 |
| 2 | 469, 452, 172, 495, 209 |
| 2 | 469, 226, 86, 495, 209 |
| 11 | 469, 113, 43, 495, 209 |
| 469, 113, 43, 45, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 469 x 113 x 43 x 45 x 19 = 171462254040
Therefore, the lowest common multiple of 938,904,344,990,418 is 171462254040.
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.
938 x 904 x 344 x 990 x 418 = 120709426844160
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
904 : 1, 2, 4, 8, 113, 226, 452, 904
344 : 1, 2, 4, 8, 43, 86, 172, 344
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
418 : 1, 2, 11, 19, 22, 38, 209, 418
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,904,344,990,418, is 2.
Now, the common factors can be found like this.
938:2x 7x 67
904:2x 2x 2x 113
344:2x 2x 2x 43
990:2x 3x 3x 5x 11
418:2x 11x 19
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 11 = 352
Therefore, the value for common factors is 352.
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 = 120709426844160/(2x352)
LCM = 120709426844160/704
LCM = 171462254040
Thus, we can understand that the LCM of 938,904,344,990,418 is 171462254040.
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FAQs on LCM of 938, 904, 344, 990, 418
1. What is the LCM of 938, 904, 344, 990, 418?
Answer: LCM of 938, 904, 344, 990, 418 is 171462254040.
2. How to calculate the LCM of 938, 904, 344, 990, 418?
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 938, 904, 344, 990, 418.
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}.