LCM of 793, 452, 851, 202, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 452, 851, 202, 230 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 793, 452, 851, 202, 230. So, keep reading to learn more.
Given numbers are 793,452,851,202,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,452,851,202,230 is 154039663180.
Find LCM of 793,452,851,202,230 with Prime Factorization
| 2 | 793, 452, 851, 202, 230 |
| 23 | 793, 226, 851, 101, 115 |
| 793, 226, 37, 101, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 793 x 226 x 37 x 101 x 5 = 154039663180
Therefore, the lowest common multiple of 793,452,851,202,230 is 154039663180.
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.
793 x 452 x 851 x 202 x 230 = 14171649012560
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.
793 : 1, 13, 61, 793
452 : 1, 2, 4, 113, 226, 452
851 : 1, 23, 37, 851
202 : 1, 2, 101, 202
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,452,851,202,230, is 1.
Now, the common factors can be found like this.
793:13x 61
452:2x 2x 113
851:23x 37
202:2x 101
230:2x 5x 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 2x 23 = 92
Therefore, the value for common factors is 92.
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 = 14171649012560/(1x92)
LCM = 14171649012560/92
LCM = 154039663180
Thus, we can understand that the LCM of 793,452,851,202,230 is 154039663180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 793, 452, 851, 202, 230
1. What is the LCM of 793, 452, 851, 202, 230?
Answer: LCM of 793, 452, 851, 202, 230 is 154039663180.
2. How to calculate the LCM of 793, 452, 851, 202, 230?
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 793, 452, 851, 202, 230.
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}.