LCM of 469, 399, 461, 133, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 399, 461, 133, 438 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 469, 399, 461, 133, 438. So, keep reading to learn more.
Given numbers are 469,399,461,133,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,399,461,133,438 is 1799291298.
Find LCM of 469,399,461,133,438 with Prime Factorization
| 3 | 469, 399, 461, 133, 438 |
| 7 | 469, 133, 461, 133, 146 |
| 19 | 67, 19, 461, 19, 146 |
| 67, 1, 461, 1, 146 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 67 x 1 x 461 x 1 x 146 = 1799291298
Therefore, the lowest common multiple of 469,399,461,133,438 is 1799291298.
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.
469 x 399 x 461 x 133 x 438 = 5025420595314
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.
469 : 1, 7, 67, 469
399 : 1, 3, 7, 19, 21, 57, 133, 399
461 : 1, 461
133 : 1, 7, 19, 133
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,399,461,133,438, is 1.
Now, the common factors can be found like this.
469:7x 67
399:3x 7x 19
461:461
133:7x 19
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 19 = 2793
Therefore, the value for common factors is 2793.
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 = 5025420595314/(1x2793)
LCM = 5025420595314/2793
LCM = 1799291298
Thus, we can understand that the LCM of 469,399,461,133,438 is 1799291298.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 469, 399, 461, 133, 438
1. What is the LCM of 469, 399, 461, 133, 438?
Answer: LCM of 469, 399, 461, 133, 438 is 1799291298.
2. How to calculate the LCM of 469, 399, 461, 133, 438?
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 469, 399, 461, 133, 438.
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}.