LCM of 939, 461, 528, 514, 839
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 461, 528, 514, 839 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, 461, 528, 514, 839. So, keep reading to learn more.
Given numbers are 939,461,528,514,839
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,461,528,514,839 is 16427605676592.
Find LCM of 939,461,528,514,839 with Prime Factorization
| 2 | 939, 461, 528, 514, 839 |
| 3 | 939, 461, 264, 257, 839 |
| 313, 461, 88, 257, 839 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 313 x 461 x 88 x 257 x 839 = 16427605676592
Therefore, the lowest common multiple of 939,461,528,514,839 is 16427605676592.
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 461 x 528 x 514 x 839 = 98565634059552
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
461 : 1, 461
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
514 : 1, 2, 257, 514
839 : 1, 839
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,461,528,514,839, is 1.
Now, the common factors can be found like this.
939:3x 313
461:461
528:2x 2x 2x 2x 3x 11
514:2x 257
839:839
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 98565634059552/(1x6)
LCM = 98565634059552/6
LCM = 16427605676592
Thus, we can understand that the LCM of 939,461,528,514,839 is 16427605676592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 461, 528, 514, 839
1. What is the LCM of 939, 461, 528, 514, 839?
Answer: LCM of 939, 461, 528, 514, 839 is 16427605676592.
2. How to calculate the LCM of 939, 461, 528, 514, 839?
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, 461, 528, 514, 839.
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}.