LCM of 229, 143, 793, 649, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 143, 793, 649, 253 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 229, 143, 793, 649, 253. So, keep reading to learn more.
Given numbers are 229,143,793,649,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,143,793,649,253 is 2710698419.
Find LCM of 229,143,793,649,253 with Prime Factorization
| 11 | 229, 143, 793, 649, 253 |
| 13 | 229, 13, 793, 59, 23 |
| 229, 1, 61, 59, 23 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 229 x 1 x 61 x 59 x 23 = 2710698419
Therefore, the lowest common multiple of 229,143,793,649,253 is 2710698419.
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.
229 x 143 x 793 x 649 x 253 = 4263928613087
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.
229 : 1, 229
143 : 1, 11, 13, 143
793 : 1, 13, 61, 793
649 : 1, 11, 59, 649
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,143,793,649,253, is 1.
Now, the common factors can be found like this.
229:229
143:11x 13
793:13x 61
649:11x 59
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 13 = 1573
Therefore, the value for common factors is 1573.
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 = 4263928613087/(1x1573)
LCM = 4263928613087/1573
LCM = 2710698419
Thus, we can understand that the LCM of 229,143,793,649,253 is 2710698419.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 143, 793, 649, 253
1. What is the LCM of 229, 143, 793, 649, 253?
Answer: LCM of 229, 143, 793, 649, 253 is 2710698419.
2. How to calculate the LCM of 229, 143, 793, 649, 253?
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 229, 143, 793, 649, 253.
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}.