LCM of 830, 107, 138, 154, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 107, 138, 154, 214 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 830, 107, 138, 154, 214. So, keep reading to learn more.
Given numbers are 830,107,138,154,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,107,138,154,214 is 471847530.
Find LCM of 830,107,138,154,214 with Prime Factorization
| 2 | 830, 107, 138, 154, 214 |
| 107 | 415, 107, 69, 77, 107 |
| 415, 1, 69, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 415 x 1 x 69 x 77 x 1 = 471847530
Therefore, the lowest common multiple of 830,107,138,154,214 is 471847530.
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.
830 x 107 x 138 x 154 x 214 = 403901485680
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
107 : 1, 107
138 : 1, 2, 3, 6, 23, 46, 69, 138
154 : 1, 2, 7, 11, 14, 22, 77, 154
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,107,138,154,214, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
107:107
138:2x 3x 23
154:2x 7x 11
214:2x 107
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 2x 107 = 856
Therefore, the value for common factors is 856.
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 = 403901485680/(1x856)
LCM = 403901485680/856
LCM = 471847530
Thus, we can understand that the LCM of 830,107,138,154,214 is 471847530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 830, 107, 138, 154, 214
1. What is the LCM of 830, 107, 138, 154, 214?
Answer: LCM of 830, 107, 138, 154, 214 is 471847530.
2. How to calculate the LCM of 830, 107, 138, 154, 214?
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 830, 107, 138, 154, 214.
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}.