LCM of 895, 261, 306, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 895, 261, 306, 232 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 895, 261, 306, 232. So, keep reading to learn more.
Given numbers are 895,261,306,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 895,261,306,232 is 31768920.
Find LCM of 895,261,306,232 with Prime Factorization
| 2 | 895, 261, 306, 232 |
| 3 | 895, 261, 153, 116 |
| 3 | 895, 87, 51, 116 |
| 29 | 895, 29, 17, 116 |
| 895, 1, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 895 x 1 x 17 x 4 = 31768920
Therefore, the lowest common multiple of 895,261,306,232 is 31768920.
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.
895 x 261 x 306 x 232 = 16583376240
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.
895 : 1, 5, 179, 895
261 : 1, 3, 9, 29, 87, 261
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,261,306,232, is 1.
Now, the common factors can be found like this.
895:5x 179
261:3x 3x 29
306:2x 3x 3x 17
232:2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 29 = 522
Therefore, the value for common factors is 522.
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 = 16583376240/(1x522)
LCM = 16583376240/522
LCM = 31768920
Thus, we can understand that the LCM of 895,261,306,232 is 31768920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 895, 261, 306, 232
1. What is the LCM of 895, 261, 306, 232?
Answer: LCM of 895, 261, 306, 232 is 31768920.
2. How to calculate the LCM of 895, 261, 306, 232?
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 895, 261, 306, 232.
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}.