LCM of 895, 212, 616, 187, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 895, 212, 616, 187, 238 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, 212, 616, 187, 238. So, keep reading to learn more.
Given numbers are 895,212,616,187,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 895,212,616,187,238 is 496739320.
Find LCM of 895,212,616,187,238 with Prime Factorization
| 2 | 895, 212, 616, 187, 238 |
| 2 | 895, 106, 308, 187, 119 |
| 7 | 895, 53, 154, 187, 119 |
| 11 | 895, 53, 22, 187, 17 |
| 17 | 895, 53, 2, 17, 17 |
| 895, 53, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 17 x 895 x 53 x 2 x 1 x 1 = 496739320
Therefore, the lowest common multiple of 895,212,616,187,238 is 496739320.
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 212 x 616 x 187 x 238 = 5201854159040
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
212 : 1, 2, 4, 53, 106, 212
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
187 : 1, 11, 17, 187
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,212,616,187,238, is 1.
Now, the common factors can be found like this.
895:5x 179
212:2x 2x 53
616:2x 2x 2x 7x 11
187:11x 17
238:2x 7x 17
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 7x 11x 17 = 10472
Therefore, the value for common factors is 10472.
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 = 5201854159040/(1x10472)
LCM = 5201854159040/10472
LCM = 496739320
Thus, we can understand that the LCM of 895,212,616,187,238 is 496739320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 895, 212, 616, 187, 238
1. What is the LCM of 895, 212, 616, 187, 238?
Answer: LCM of 895, 212, 616, 187, 238 is 496739320.
2. How to calculate the LCM of 895, 212, 616, 187, 238?
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, 212, 616, 187, 238.
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}.