LCM of 895, 429, 559, 387, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 895, 429, 559, 387, 939 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 895, 429, 559, 387, 939. So, keep reading to learn more.
Given numbers are 895,429,559,387,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 895,429,559,387,939 is 15502951035.
Find LCM of 895,429,559,387,939 with Prime Factorization
| 3 | 895, 429, 559, 387, 939 |
| 13 | 895, 143, 559, 129, 313 |
| 43 | 895, 11, 43, 129, 313 |
| 895, 11, 1, 3, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 43 x 895 x 11 x 1 x 3 x 313 = 15502951035
Therefore, the lowest common multiple of 895,429,559,387,939 is 15502951035.
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.
895 x 429 x 559 x 387 x 939 = 77995346657085
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.
895 : 1, 5, 179, 895
429 : 1, 3, 11, 13, 33, 39, 143, 429
559 : 1, 13, 43, 559
387 : 1, 3, 9, 43, 129, 387
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,429,559,387,939, is 1.
Now, the common factors can be found like this.
895:5x 179
429:3x 11x 13
559:13x 43
387:3x 3x 43
939:3x 313
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 13x 43 = 5031
Therefore, the value for common factors is 5031.
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 = 77995346657085/(1x5031)
LCM = 77995346657085/5031
LCM = 15502951035
Thus, we can understand that the LCM of 895,429,559,387,939 is 15502951035.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 895, 429, 559, 387, 939
1. What is the LCM of 895, 429, 559, 387, 939?
Answer: LCM of 895, 429, 559, 387, 939 is 15502951035.
2. How to calculate the LCM of 895, 429, 559, 387, 939?
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 895, 429, 559, 387, 939.
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}.