LCM of 216, 277, 302, 693, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 277, 302, 693, 906 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, 277, 302, 693, 906. So, keep reading to learn more.
Given numbers are 216,277,302,693,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,277,302,693,906 is 695666664.
Find LCM of 216,277,302,693,906 with Prime Factorization
| 2 | 216, 277, 302, 693, 906 |
| 3 | 108, 277, 151, 693, 453 |
| 3 | 36, 277, 151, 231, 151 |
| 151 | 12, 277, 151, 77, 151 |
| 12, 277, 1, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 151 x 12 x 277 x 1 x 77 x 1 = 695666664
Therefore, the lowest common multiple of 216,277,302,693,906 is 695666664.
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 277 x 302 x 693 x 906 = 11344931956512
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
277 : 1, 277
302 : 1, 2, 151, 302
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,277,302,693,906, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
277:277
302:2x 151
693:3x 3x 7x 11
906:2x 3x 151
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 3x 3x 151 = 16308
Therefore, the value for common factors is 16308.
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 = 11344931956512/(1x16308)
LCM = 11344931956512/16308
LCM = 695666664
Thus, we can understand that the LCM of 216,277,302,693,906 is 695666664.
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FAQs on LCM of 216, 277, 302, 693, 906
1. What is the LCM of 216, 277, 302, 693, 906?
Answer: LCM of 216, 277, 302, 693, 906 is 695666664.
2. How to calculate the LCM of 216, 277, 302, 693, 906?
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, 277, 302, 693, 906.
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}.