LCM of 226, 286, 189, 429, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 286, 189, 429, 649 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 226, 286, 189, 429, 649. So, keep reading to learn more.
Given numbers are 226,286,189,429,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,286,189,429,649 is 360378018.
Find LCM of 226,286,189,429,649 with Prime Factorization
| 2 | 226, 286, 189, 429, 649 |
| 3 | 113, 143, 189, 429, 649 |
| 11 | 113, 143, 63, 143, 649 |
| 13 | 113, 13, 63, 13, 59 |
| 113, 1, 63, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 113 x 1 x 63 x 1 x 59 = 360378018
Therefore, the lowest common multiple of 226,286,189,429,649 is 360378018.
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.
226 x 286 x 189 x 429 x 649 = 3401247733884
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.
226 : 1, 2, 113, 226
286 : 1, 2, 11, 13, 22, 26, 143, 286
189 : 1, 3, 7, 9, 21, 27, 63, 189
429 : 1, 3, 11, 13, 33, 39, 143, 429
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,286,189,429,649, is 1.
Now, the common factors can be found like this.
226:2x 113
286:2x 11x 13
189:3x 3x 3x 7
429:3x 11x 13
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 13 = 9438
Therefore, the value for common factors is 9438.
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 = 3401247733884/(1x9438)
LCM = 3401247733884/9438
LCM = 360378018
Thus, we can understand that the LCM of 226,286,189,429,649 is 360378018.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 226, 286, 189, 429, 649
1. What is the LCM of 226, 286, 189, 429, 649?
Answer: LCM of 226, 286, 189, 429, 649 is 360378018.
2. How to calculate the LCM of 226, 286, 189, 429, 649?
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 226, 286, 189, 429, 649.
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}.