LCM of 866, 681, 993, 363, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 681, 993, 363, 154 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 866, 681, 993, 363, 154. So, keep reading to learn more.
Given numbers are 866,681,993,363,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,681,993,363,154 is 165339419322.
Find LCM of 866,681,993,363,154 with Prime Factorization
| 2 | 866, 681, 993, 363, 154 |
| 3 | 433, 681, 993, 363, 77 |
| 11 | 433, 227, 331, 121, 77 |
| 433, 227, 331, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 433 x 227 x 331 x 11 x 7 = 165339419322
Therefore, the lowest common multiple of 866,681,993,363,154 is 165339419322.
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.
866 x 681 x 993 x 363 x 154 = 32737205025756
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.
866 : 1, 2, 433, 866
681 : 1, 3, 227, 681
993 : 1, 3, 331, 993
363 : 1, 3, 11, 33, 121, 363
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,681,993,363,154, is 1.
Now, the common factors can be found like this.
866:2x 433
681:3x 227
993:3x 331
363:3x 11x 11
154:2x 7x 11
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 11 = 198
Therefore, the value for common factors is 198.
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 = 32737205025756/(1x198)
LCM = 32737205025756/198
LCM = 165339419322
Thus, we can understand that the LCM of 866,681,993,363,154 is 165339419322.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 866, 681, 993, 363, 154
1. What is the LCM of 866, 681, 993, 363, 154?
Answer: LCM of 866, 681, 993, 363, 154 is 165339419322.
2. How to calculate the LCM of 866, 681, 993, 363, 154?
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 866, 681, 993, 363, 154.
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}.