LCM of 939, 609, 655, 966, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 609, 655, 966, 495 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, 609, 655, 966, 495. So, keep reading to learn more.
Given numbers are 939,609,655,966,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,609,655,966,495 is 189528576930.
Find LCM of 939,609,655,966,495 with Prime Factorization
| 3 | 939, 609, 655, 966, 495 |
| 5 | 313, 203, 655, 322, 165 |
| 7 | 313, 203, 131, 322, 33 |
| 313, 29, 131, 46, 33 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 313 x 29 x 131 x 46 x 33 = 189528576930
Therefore, the lowest common multiple of 939,609,655,966,495 is 189528576930.
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 609 x 655 x 966 x 495 = 179104505198850
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
655 : 1, 5, 131, 655
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,609,655,966,495, is 1.
Now, the common factors can be found like this.
939:3x 313
609:3x 7x 29
655:5x 131
966:2x 3x 7x 23
495:3x 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.
3x 3x 3x 5x 7 = 945
Therefore, the value for common factors is 945.
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 = 179104505198850/(1x945)
LCM = 179104505198850/945
LCM = 189528576930
Thus, we can understand that the LCM of 939,609,655,966,495 is 189528576930.
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FAQs on LCM of 939, 609, 655, 966, 495
1. What is the LCM of 939, 609, 655, 966, 495?
Answer: LCM of 939, 609, 655, 966, 495 is 189528576930.
2. How to calculate the LCM of 939, 609, 655, 966, 495?
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, 609, 655, 966, 495.
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}.