LCM of 855, 765, 836, 969, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 765, 836, 969, 391 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 855, 765, 836, 969, 391. So, keep reading to learn more.
Given numbers are 855,765,836,969,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,765,836,969,391 is 14709420.
Find LCM of 855,765,836,969,391 with Prime Factorization
| 3 | 855, 765, 836, 969, 391 |
| 3 | 285, 255, 836, 323, 391 |
| 5 | 95, 85, 836, 323, 391 |
| 17 | 19, 17, 836, 323, 391 |
| 19 | 19, 1, 836, 19, 23 |
| 1, 1, 44, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 19 x 1 x 1 x 44 x 1 x 23 = 14709420
Therefore, the lowest common multiple of 855,765,836,969,391 is 14709420.
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.
855 x 765 x 836 x 969 x 391 = 207173575689300
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
969 : 1, 3, 17, 19, 51, 57, 323, 969
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,765,836,969,391, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
765:3x 3x 5x 17
836:2x 2x 11x 19
969:3x 17x 19
391:17x 23
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 17x 17x 19x 19 = 14084415
Therefore, the value for common factors is 14084415.
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 = 207173575689300/(1x14084415)
LCM = 207173575689300/14084415
LCM = 14709420
Thus, we can understand that the LCM of 855,765,836,969,391 is 14709420.
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FAQs on LCM of 855, 765, 836, 969, 391
1. What is the LCM of 855, 765, 836, 969, 391?
Answer: LCM of 855, 765, 836, 969, 391 is 14709420.
2. How to calculate the LCM of 855, 765, 836, 969, 391?
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 855, 765, 836, 969, 391.
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}.