LCM of 845, 519, 234, 295, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 519, 234, 295, 887 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 845, 519, 234, 295, 887. So, keep reading to learn more.
Given numbers are 845,519,234,295,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,519,234,295,887 is 137705392890.
Find LCM of 845,519,234,295,887 with Prime Factorization
| 3 | 845, 519, 234, 295, 887 |
| 5 | 845, 173, 78, 295, 887 |
| 13 | 169, 173, 78, 59, 887 |
| 13, 173, 6, 59, 887 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 13 x 173 x 6 x 59 x 887 = 137705392890
Therefore, the lowest common multiple of 845,519,234,295,887 is 137705392890.
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.
845 x 519 x 234 x 295 x 887 = 26852551613550
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.
845 : 1, 5, 13, 65, 169, 845
519 : 1, 3, 173, 519
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
295 : 1, 5, 59, 295
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,519,234,295,887, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
519:3x 173
234:2x 3x 3x 13
295:5x 59
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 26852551613550/(1x195)
LCM = 26852551613550/195
LCM = 137705392890
Thus, we can understand that the LCM of 845,519,234,295,887 is 137705392890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 519, 234, 295, 887
1. What is the LCM of 845, 519, 234, 295, 887?
Answer: LCM of 845, 519, 234, 295, 887 is 137705392890.
2. How to calculate the LCM of 845, 519, 234, 295, 887?
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 845, 519, 234, 295, 887.
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}.