LCM of 652, 903, 215, 867, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 903, 215, 867, 255 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 652, 903, 215, 867, 255. So, keep reading to learn more.
Given numbers are 652,903,215,867,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,903,215,867,255 is 850752420.
Find LCM of 652,903,215,867,255 with Prime Factorization
| 3 | 652, 903, 215, 867, 255 |
| 5 | 652, 301, 215, 289, 85 |
| 17 | 652, 301, 43, 289, 17 |
| 43 | 652, 301, 43, 1, 17 |
| 652, 7, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 43 x 652 x 7 x 1 x 1 x 17 = 850752420
Therefore, the lowest common multiple of 652,903,215,867,255 is 850752420.
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.
652 x 903 x 215 x 867 x 255 = 27985500855900
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.
652 : 1, 2, 4, 163, 326, 652
903 : 1, 3, 7, 21, 43, 129, 301, 903
215 : 1, 5, 43, 215
867 : 1, 3, 17, 51, 289, 867
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,903,215,867,255, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
903:3x 7x 43
215:5x 43
867:3x 17x 17
255:3x 5x 17
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 5x 17x 43 = 32895
Therefore, the value for common factors is 32895.
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 = 27985500855900/(1x32895)
LCM = 27985500855900/32895
LCM = 850752420
Thus, we can understand that the LCM of 652,903,215,867,255 is 850752420.
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FAQs on LCM of 652, 903, 215, 867, 255
1. What is the LCM of 652, 903, 215, 867, 255?
Answer: LCM of 652, 903, 215, 867, 255 is 850752420.
2. How to calculate the LCM of 652, 903, 215, 867, 255?
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 652, 903, 215, 867, 255.
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}.