LCM of 180, 869, 368, 205, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 869, 368, 205, 955 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 180, 869, 368, 205, 955. So, keep reading to learn more.
Given numbers are 180,869,368,205,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,869,368,205,955 is 112693101840.
Find LCM of 180,869,368,205,955 with Prime Factorization
| 2 | 180, 869, 368, 205, 955 |
| 2 | 90, 869, 184, 205, 955 |
| 5 | 45, 869, 92, 205, 955 |
| 9, 869, 92, 41, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 9 x 869 x 92 x 41 x 191 = 112693101840
Therefore, the lowest common multiple of 180,869,368,205,955 is 112693101840.
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.
180 x 869 x 368 x 205 x 955 = 11269310184000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
869 : 1, 11, 79, 869
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
205 : 1, 5, 41, 205
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,869,368,205,955, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
869:11x 79
368:2x 2x 2x 2x 23
205:5x 41
955:5x 191
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 11269310184000/(1x100)
LCM = 11269310184000/100
LCM = 112693101840
Thus, we can understand that the LCM of 180,869,368,205,955 is 112693101840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 869, 368, 205, 955
1. What is the LCM of 180, 869, 368, 205, 955?
Answer: LCM of 180, 869, 368, 205, 955 is 112693101840.
2. How to calculate the LCM of 180, 869, 368, 205, 955?
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 180, 869, 368, 205, 955.
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}.