LCM of 230, 875, 916, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 875, 916, 138 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 230, 875, 916, 138. So, keep reading to learn more.
Given numbers are 230,875,916,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,875,916,138 is 55303500.
Find LCM of 230,875,916,138 with Prime Factorization
| 2 | 230, 875, 916, 138 |
| 5 | 115, 875, 458, 69 |
| 23 | 23, 175, 458, 69 |
| 1, 175, 458, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 1 x 175 x 458 x 3 = 55303500
Therefore, the lowest common multiple of 230,875,916,138 is 55303500.
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.
230 x 875 x 916 x 138 = 25439610000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
875 : 1, 5, 7, 25, 35, 125, 175, 875
916 : 1, 2, 4, 229, 458, 916
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,875,916,138, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
875:5x 5x 5x 7
916:2x 2x 229
138:2x 3x 23
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 23 = 460
Therefore, the value for common factors is 460.
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 = 25439610000/(1x460)
LCM = 25439610000/460
LCM = 55303500
Thus, we can understand that the LCM of 230,875,916,138 is 55303500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 875, 916, 138
1. What is the LCM of 230, 875, 916, 138?
Answer: LCM of 230, 875, 916, 138 is 55303500.
2. How to calculate the LCM of 230, 875, 916, 138?
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 230, 875, 916, 138.
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}.