LCM of 669, 820, 413, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 820, 413, 324 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 669, 820, 413, 324. So, keep reading to learn more.
Given numbers are 669,820,413,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,820,413,324 is 6117215580.
Find LCM of 669,820,413,324 with Prime Factorization
| 2 | 669, 820, 413, 324 |
| 2 | 669, 410, 413, 162 |
| 3 | 669, 205, 413, 81 |
| 223, 205, 413, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 223 x 205 x 413 x 27 = 6117215580
Therefore, the lowest common multiple of 669,820,413,324 is 6117215580.
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.
669 x 820 x 413 x 324 = 73406586960
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.
669 : 1, 3, 223, 669
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
413 : 1, 7, 59, 413
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,820,413,324, is 1.
Now, the common factors can be found like this.
669:3x 223
820:2x 2x 5x 41
413:7x 59
324:2x 2x 3x 3x 3x 3
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 3 = 12
Therefore, the value for common factors is 12.
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 = 73406586960/(1x12)
LCM = 73406586960/12
LCM = 6117215580
Thus, we can understand that the LCM of 669,820,413,324 is 6117215580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 669, 820, 413, 324
1. What is the LCM of 669, 820, 413, 324?
Answer: LCM of 669, 820, 413, 324 is 6117215580.
2. How to calculate the LCM of 669, 820, 413, 324?
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 669, 820, 413, 324.
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}.