LCM of 939, 555, 904, 771, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 555, 904, 771, 330 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 939, 555, 904, 771, 330. So, keep reading to learn more.
Given numbers are 939,555,904,771,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,555,904,771,330 is 443947443720.
Find LCM of 939,555,904,771,330 with Prime Factorization
| 2 | 939, 555, 904, 771, 330 |
| 3 | 939, 555, 452, 771, 165 |
| 5 | 313, 185, 452, 257, 55 |
| 313, 37, 452, 257, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 313 x 37 x 452 x 257 x 11 = 443947443720
Therefore, the lowest common multiple of 939,555,904,771,330 is 443947443720.
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.
939 x 555 x 904 x 771 x 330 = 119865809804400
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.
939 : 1, 3, 313, 939
555 : 1, 3, 5, 15, 37, 111, 185, 555
904 : 1, 2, 4, 8, 113, 226, 452, 904
771 : 1, 3, 257, 771
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,555,904,771,330, is 1.
Now, the common factors can be found like this.
939:3x 313
555:3x 5x 37
904:2x 2x 2x 113
771:3x 257
330:2x 3x 5x 11
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 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 119865809804400/(1x270)
LCM = 119865809804400/270
LCM = 443947443720
Thus, we can understand that the LCM of 939,555,904,771,330 is 443947443720.
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FAQs on LCM of 939, 555, 904, 771, 330
1. What is the LCM of 939, 555, 904, 771, 330?
Answer: LCM of 939, 555, 904, 771, 330 is 443947443720.
2. How to calculate the LCM of 939, 555, 904, 771, 330?
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 939, 555, 904, 771, 330.
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}.