LCM of 216, 140, 843, 627, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 140, 843, 627, 887 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 216, 140, 843, 627, 887. So, keep reading to learn more.
Given numbers are 216,140,843,627,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,140,843,627,887 is 393820229880.
Find LCM of 216,140,843,627,887 with Prime Factorization
| 2 | 216, 140, 843, 627, 887 |
| 2 | 108, 70, 843, 627, 887 |
| 3 | 54, 35, 843, 627, 887 |
| 18, 35, 281, 209, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 18 x 35 x 281 x 209 x 887 = 393820229880
Therefore, the lowest common multiple of 216,140,843,627,887 is 393820229880.
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.
216 x 140 x 843 x 627 x 887 = 14177528275680
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
843 : 1, 3, 281, 843
627 : 1, 3, 11, 19, 33, 57, 209, 627
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,140,843,627,887, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
140:2x 2x 5x 7
843:3x 281
627:3x 11x 19
887:887
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 14177528275680/(1x36)
LCM = 14177528275680/36
LCM = 393820229880
Thus, we can understand that the LCM of 216,140,843,627,887 is 393820229880.
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FAQs on LCM of 216, 140, 843, 627, 887
1. What is the LCM of 216, 140, 843, 627, 887?
Answer: LCM of 216, 140, 843, 627, 887 is 393820229880.
2. How to calculate the LCM of 216, 140, 843, 627, 887?
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 216, 140, 843, 627, 887.
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}.