LCM of 133, 203, 503, 406, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 133, 203, 503, 406, 229 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 133, 203, 503, 406, 229. So, keep reading to learn more.
Given numbers are 133,203,503,406,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,203,503,406,229 is 888552518.
Find LCM of 133,203,503,406,229 with Prime Factorization
| 7 | 133, 203, 503, 406, 229 |
| 29 | 19, 29, 503, 58, 229 |
| 19, 1, 503, 2, 229 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 19 x 1 x 503 x 2 x 229 = 888552518
Therefore, the lowest common multiple of 133,203,503,406,229 is 888552518.
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.
133 x 203 x 503 x 406 x 229 = 1262633128078
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.
133 : 1, 7, 19, 133
203 : 1, 7, 29, 203
503 : 1, 503
406 : 1, 2, 7, 14, 29, 58, 203, 406
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,203,503,406,229, is 1.
Now, the common factors can be found like this.
133:7x 19
203:7x 29
503:503
406:2x 7x 29
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 29 = 1421
Therefore, the value for common factors is 1421.
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 = 1262633128078/(1x1421)
LCM = 1262633128078/1421
LCM = 888552518
Thus, we can understand that the LCM of 133,203,503,406,229 is 888552518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 133, 203, 503, 406, 229
1. What is the LCM of 133, 203, 503, 406, 229?
Answer: LCM of 133, 203, 503, 406, 229 is 888552518.
2. How to calculate the LCM of 133, 203, 503, 406, 229?
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 133, 203, 503, 406, 229.
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}.