LCM of 820, 234, 855, 303, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 234, 855, 303, 852 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, 234, 855, 303, 852. So, keep reading to learn more.
Given numbers are 820,234,855,303,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,234,855,303,852 is 13071729060.
Find LCM of 820,234,855,303,852 with Prime Factorization
| 2 | 820, 234, 855, 303, 852 |
| 2 | 410, 117, 855, 303, 426 |
| 3 | 205, 117, 855, 303, 213 |
| 3 | 205, 39, 285, 101, 71 |
| 5 | 205, 13, 95, 101, 71 |
| 41, 13, 19, 101, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 41 x 13 x 19 x 101 x 71 = 13071729060
Therefore, the lowest common multiple of 820,234,855,303,852 is 13071729060.
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 234 x 855 x 303 x 852 = 42352402154400
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
303 : 1, 3, 101, 303
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,234,855,303,852, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
234:2x 3x 3x 13
855:3x 3x 5x 19
303:3x 101
852:2x 2x 3x 71
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 42352402154400/(1x3240)
LCM = 42352402154400/3240
LCM = 13071729060
Thus, we can understand that the LCM of 820,234,855,303,852 is 13071729060.
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FAQs on LCM of 820, 234, 855, 303, 852
1. What is the LCM of 820, 234, 855, 303, 852?
Answer: LCM of 820, 234, 855, 303, 852 is 13071729060.
2. How to calculate the LCM of 820, 234, 855, 303, 852?
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, 234, 855, 303, 852.
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}.