LCM of 230, 417, 253, 985, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 417, 253, 985, 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, 417, 253, 985, 138. So, keep reading to learn more.
Given numbers are 230,417,253,985,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,417,253,985,138 is 207836970.
Find LCM of 230,417,253,985,138 with Prime Factorization
| 2 | 230, 417, 253, 985, 138 |
| 3 | 115, 417, 253, 985, 69 |
| 5 | 115, 139, 253, 985, 23 |
| 23 | 23, 139, 253, 197, 23 |
| 1, 139, 11, 197, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 1 x 139 x 11 x 197 x 1 = 207836970
Therefore, the lowest common multiple of 230,417,253,985,138 is 207836970.
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 417 x 253 x 985 x 138 = 3298372713900
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
417 : 1, 3, 139, 417
253 : 1, 11, 23, 253
985 : 1, 5, 197, 985
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 230,417,253,985,138, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
417:3x 139
253:11x 23
985:5x 197
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 3x 5x 23x 23 = 15870
Therefore, the value for common factors is 15870.
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 = 3298372713900/(1x15870)
LCM = 3298372713900/15870
LCM = 207836970
Thus, we can understand that the LCM of 230,417,253,985,138 is 207836970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 417, 253, 985, 138
1. What is the LCM of 230, 417, 253, 985, 138?
Answer: LCM of 230, 417, 253, 985, 138 is 207836970.
2. How to calculate the LCM of 230, 417, 253, 985, 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, 417, 253, 985, 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}.