LCM of 438, 146, 324, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 146, 324, 653 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 438, 146, 324, 653. So, keep reading to learn more.
Given numbers are 438,146,324,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,146,324,653 is 15444756.
Find LCM of 438,146,324,653 with Prime Factorization
| 2 | 438, 146, 324, 653 |
| 3 | 219, 73, 162, 653 |
| 73 | 73, 73, 54, 653 |
| 1, 1, 54, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 1 x 1 x 54 x 653 = 15444756
Therefore, the lowest common multiple of 438,146,324,653 is 15444756.
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.
438 x 146 x 324 x 653 = 13529606256
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
146 : 1, 2, 73, 146
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,146,324,653, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
146:2x 73
324:2x 2x 3x 3x 3x 3
653:653
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 3x 73 = 876
Therefore, the value for common factors is 876.
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 = 13529606256/(1x876)
LCM = 13529606256/876
LCM = 15444756
Thus, we can understand that the LCM of 438,146,324,653 is 15444756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 438, 146, 324, 653
1. What is the LCM of 438, 146, 324, 653?
Answer: LCM of 438, 146, 324, 653 is 15444756.
2. How to calculate the LCM of 438, 146, 324, 653?
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 438, 146, 324, 653.
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}.