LCM of 820, 412, 820, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 412, 820, 458 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 820, 412, 820, 458. So, keep reading to learn more.
Given numbers are 820,412,820,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,412,820,458 is 19341340.
Find LCM of 820,412,820,458 with Prime Factorization
| 2 | 820, 412, 820, 458 |
| 2 | 410, 206, 410, 229 |
| 5 | 205, 103, 205, 229 |
| 41 | 41, 103, 41, 229 |
| 1, 103, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 41 x 1 x 103 x 1 x 229 = 19341340
Therefore, the lowest common multiple of 820,412,820,458 is 19341340.
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.
820 x 412 x 820 x 458 = 126879190400
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
412 : 1, 2, 4, 103, 206, 412
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
458 : 1, 2, 229, 458
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,412,820,458, is 2.
Now, the common factors can be found like this.
820:2x 2x 5x 41
412:2x 2x 103
820:2x 2x 5x 41
458:2x 229
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 2x 5x 41 = 3280
Therefore, the value for common factors is 3280.
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 = 126879190400/(2x3280)
LCM = 126879190400/6560
LCM = 19341340
Thus, we can understand that the LCM of 820,412,820,458 is 19341340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 820, 412, 820, 458
1. What is the LCM of 820, 412, 820, 458?
Answer: LCM of 820, 412, 820, 458 is 19341340.
2. How to calculate the LCM of 820, 412, 820, 458?
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 820, 412, 820, 458.
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}.