LCM of 917, 209, 671, 177, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 209, 671, 177, 854 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 917, 209, 671, 177, 854. So, keep reading to learn more.
Given numbers are 917,209,671,177,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,209,671,177,854 is 4138554882.
Find LCM of 917,209,671,177,854 with Prime Factorization
| 7 | 917, 209, 671, 177, 854 |
| 11 | 131, 209, 671, 177, 122 |
| 61 | 131, 19, 61, 177, 122 |
| 131, 19, 1, 177, 2 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 61 x 131 x 19 x 1 x 177 x 2 = 4138554882
Therefore, the lowest common multiple of 917,209,671,177,854 is 4138554882.
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.
917 x 209 x 671 x 177 x 854 = 19438792280754
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.
917 : 1, 7, 131, 917
209 : 1, 11, 19, 209
671 : 1, 11, 61, 671
177 : 1, 3, 59, 177
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,209,671,177,854, is 1.
Now, the common factors can be found like this.
917:7x 131
209:11x 19
671:11x 61
177:3x 59
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 61 = 4697
Therefore, the value for common factors is 4697.
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 = 19438792280754/(1x4697)
LCM = 19438792280754/4697
LCM = 4138554882
Thus, we can understand that the LCM of 917,209,671,177,854 is 4138554882.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 209, 671, 177, 854
1. What is the LCM of 917, 209, 671, 177, 854?
Answer: LCM of 917, 209, 671, 177, 854 is 4138554882.
2. How to calculate the LCM of 917, 209, 671, 177, 854?
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 917, 209, 671, 177, 854.
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}.