LCM of 801, 154, 198, 786, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 154, 198, 786, 204 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 801, 154, 198, 786, 204. So, keep reading to learn more.
Given numbers are 801,154,198,786,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,154,198,786,204 is 549418716.
Find LCM of 801,154,198,786,204 with Prime Factorization
| 2 | 801, 154, 198, 786, 204 |
| 3 | 801, 77, 99, 393, 102 |
| 3 | 267, 77, 33, 131, 34 |
| 11 | 89, 77, 11, 131, 34 |
| 89, 7, 1, 131, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 89 x 7 x 1 x 131 x 34 = 549418716
Therefore, the lowest common multiple of 801,154,198,786,204 is 549418716.
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.
801 x 154 x 198 x 786 x 204 = 3916256607648
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.
801 : 1, 3, 9, 89, 267, 801
154 : 1, 2, 7, 11, 14, 22, 77, 154
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
786 : 1, 2, 3, 6, 131, 262, 393, 786
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,154,198,786,204, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
154:2x 7x 11
198:2x 3x 3x 11
786:2x 3x 131
204:2x 2x 3x 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 3x 3x 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 3916256607648/(1x7128)
LCM = 3916256607648/7128
LCM = 549418716
Thus, we can understand that the LCM of 801,154,198,786,204 is 549418716.
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FAQs on LCM of 801, 154, 198, 786, 204
1. What is the LCM of 801, 154, 198, 786, 204?
Answer: LCM of 801, 154, 198, 786, 204 is 549418716.
2. How to calculate the LCM of 801, 154, 198, 786, 204?
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 801, 154, 198, 786, 204.
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}.