LCM of 885, 756, 613, 536, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 756, 613, 536, 201 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 885, 756, 613, 536, 201. So, keep reading to learn more.
Given numbers are 885,756,613,536,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,756,613,536,201 is 18319308840.
Find LCM of 885,756,613,536,201 with Prime Factorization
| 2 | 885, 756, 613, 536, 201 |
| 2 | 885, 378, 613, 268, 201 |
| 3 | 885, 189, 613, 134, 201 |
| 67 | 295, 63, 613, 134, 67 |
| 295, 63, 613, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 295 x 63 x 613 x 2 x 1 = 18319308840
Therefore, the lowest common multiple of 885,756,613,536,201 is 18319308840.
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.
885 x 756 x 613 x 536 x 201 = 44186172922080
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
613 : 1, 613
536 : 1, 2, 4, 8, 67, 134, 268, 536
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,756,613,536,201, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
756:2x 2x 3x 3x 3x 7
613:613
536:2x 2x 2x 67
201:3x 67
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 67 = 2412
Therefore, the value for common factors is 2412.
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 = 44186172922080/(1x2412)
LCM = 44186172922080/2412
LCM = 18319308840
Thus, we can understand that the LCM of 885,756,613,536,201 is 18319308840.
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FAQs on LCM of 885, 756, 613, 536, 201
1. What is the LCM of 885, 756, 613, 536, 201?
Answer: LCM of 885, 756, 613, 536, 201 is 18319308840.
2. How to calculate the LCM of 885, 756, 613, 536, 201?
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 885, 756, 613, 536, 201.
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}.