LCM of 866, 806, 154, 759, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 806, 154, 759, 360 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 866, 806, 154, 759, 360. So, keep reading to learn more.
Given numbers are 866,806,154,759,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,806,154,759,360 is 111253582440.
Find LCM of 866,806,154,759,360 with Prime Factorization
| 2 | 866, 806, 154, 759, 360 |
| 3 | 433, 403, 77, 759, 180 |
| 11 | 433, 403, 77, 253, 60 |
| 433, 403, 7, 23, 60 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 433 x 403 x 7 x 23 x 60 = 111253582440
Therefore, the lowest common multiple of 866,806,154,759,360 is 111253582440.
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.
866 x 806 x 154 x 759 x 360 = 29370945764160
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.
866 : 1, 2, 433, 866
806 : 1, 2, 13, 26, 31, 62, 403, 806
154 : 1, 2, 7, 11, 14, 22, 77, 154
759 : 1, 3, 11, 23, 33, 69, 253, 759
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,806,154,759,360, is 1.
Now, the common factors can be found like this.
866:2x 433
806:2x 13x 31
154:2x 7x 11
759:3x 11x 23
360:2x 2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 29370945764160/(1x264)
LCM = 29370945764160/264
LCM = 111253582440
Thus, we can understand that the LCM of 866,806,154,759,360 is 111253582440.
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FAQs on LCM of 866, 806, 154, 759, 360
1. What is the LCM of 866, 806, 154, 759, 360?
Answer: LCM of 866, 806, 154, 759, 360 is 111253582440.
2. How to calculate the LCM of 866, 806, 154, 759, 360?
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 866, 806, 154, 759, 360.
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}.