LCM of 361, 820, 819, 345, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 820, 819, 345, 741 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 361, 820, 819, 345, 741. So, keep reading to learn more.
Given numbers are 361,820,819,345,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,820,819,345,741 is 5576128740.
Find LCM of 361,820,819,345,741 with Prime Factorization
| 3 | 361, 820, 819, 345, 741 |
| 5 | 361, 820, 273, 115, 247 |
| 13 | 361, 164, 273, 23, 247 |
| 19 | 361, 164, 21, 23, 19 |
| 1, 164, 21, 23, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 19 x 1 x 164 x 21 x 23 x 19 = 5576128740
Therefore, the lowest common multiple of 361,820,819,345,741 is 5576128740.
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.
361 x 820 x 819 x 345 x 741 = 61978670945100
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.
361 : 1, 19, 361
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
345 : 1, 3, 5, 15, 23, 69, 115, 345
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,820,819,345,741, is 1.
Now, the common factors can be found like this.
361:19x 19
820:2x 2x 5x 41
819:3x 3x 7x 13
345:3x 5x 23
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13x 19 = 11115
Therefore, the value for common factors is 11115.
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 = 61978670945100/(1x11115)
LCM = 61978670945100/11115
LCM = 5576128740
Thus, we can understand that the LCM of 361,820,819,345,741 is 5576128740.
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FAQs on LCM of 361, 820, 819, 345, 741
1. What is the LCM of 361, 820, 819, 345, 741?
Answer: LCM of 361, 820, 819, 345, 741 is 5576128740.
2. How to calculate the LCM of 361, 820, 819, 345, 741?
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 361, 820, 819, 345, 741.
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}.