LCM of 865, 905, 519, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 905, 519, 165 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 865, 905, 519, 165. So, keep reading to learn more.
Given numbers are 865,905,519,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,905,519,165 is 5166645.
Find LCM of 865,905,519,165 with Prime Factorization
| 3 | 865, 905, 519, 165 |
| 5 | 865, 905, 173, 55 |
| 173 | 173, 181, 173, 11 |
| 1, 181, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 173 x 1 x 181 x 1 x 11 = 5166645
Therefore, the lowest common multiple of 865,905,519,165 is 5166645.
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.
865 x 905 x 519 x 165 = 67037218875
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.
865 : 1, 5, 173, 865
905 : 1, 5, 181, 905
519 : 1, 3, 173, 519
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,905,519,165, is 1.
Now, the common factors can be found like this.
865:5x 173
905:5x 181
519:3x 173
165:3x 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 5x 5x 173 = 12975
Therefore, the value for common factors is 12975.
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 = 67037218875/(1x12975)
LCM = 67037218875/12975
LCM = 5166645
Thus, we can understand that the LCM of 865,905,519,165 is 5166645.
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FAQs on LCM of 865, 905, 519, 165
1. What is the LCM of 865, 905, 519, 165?
Answer: LCM of 865, 905, 519, 165 is 5166645.
2. How to calculate the LCM of 865, 905, 519, 165?
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 865, 905, 519, 165.
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}.