LCM of 362, 305, 844, 561, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 305, 844, 561, 187 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 362, 305, 844, 561, 187. So, keep reading to learn more.
Given numbers are 362,305,844,561,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,305,844,561,187 is 26138684220.
Find LCM of 362,305,844,561,187 with Prime Factorization
| 2 | 362, 305, 844, 561, 187 |
| 11 | 181, 305, 422, 561, 187 |
| 17 | 181, 305, 422, 51, 17 |
| 181, 305, 422, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 181 x 305 x 422 x 3 x 1 = 26138684220
Therefore, the lowest common multiple of 362,305,844,561,187 is 26138684220.
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.
362 x 305 x 844 x 561 x 187 = 9775867898280
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.
362 : 1, 2, 181, 362
305 : 1, 5, 61, 305
844 : 1, 2, 4, 211, 422, 844
561 : 1, 3, 11, 17, 33, 51, 187, 561
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,305,844,561,187, is 1.
Now, the common factors can be found like this.
362:2x 181
305:5x 61
844:2x 2x 211
561:3x 11x 17
187:11x 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 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 9775867898280/(1x374)
LCM = 9775867898280/374
LCM = 26138684220
Thus, we can understand that the LCM of 362,305,844,561,187 is 26138684220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 305, 844, 561, 187
1. What is the LCM of 362, 305, 844, 561, 187?
Answer: LCM of 362, 305, 844, 561, 187 is 26138684220.
2. How to calculate the LCM of 362, 305, 844, 561, 187?
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 362, 305, 844, 561, 187.
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}.