Find the LCM of 669, 987, 261, 580, 504 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, 987, 261, 580, 504. So, keep reading to learn more.
Given numbers are 669,987,261,580,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,987,261,580,504 is 765951480.
Find LCM of 669,987,261,580,504 with Prime Factorization
2 | 669, 987, 261, 580, 504 |
2 | 669, 987, 261, 290, 252 |
3 | 669, 987, 261, 145, 126 |
3 | 223, 329, 87, 145, 42 |
7 | 223, 329, 29, 145, 14 |
29 | 223, 47, 29, 145, 2 |
223, 47, 1, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 29 x 223 x 47 x 1 x 5 x 2 = 765951480
Therefore, the lowest common multiple of 669,987,261,580,504 is 765951480.
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 987 x 261 x 580 x 504 = 50378160742560
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
261 : 1, 3, 9, 29, 87, 261
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,987,261,580,504, is 1.
Now, the common factors can be found like this.
669:3x 223
987:3x 7x 47
261:3x 3x 29
580:2x 2x 5x 29
504:2x 2x 2x 3x 3x 7
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 3x 3x 3x 7x 29 = 65772
Therefore, the value for common factors is 65772.
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 = 50378160742560/(1x65772)
LCM = 50378160742560/65772
LCM = 765951480
Thus, we can understand that the LCM of 669,987,261,580,504 is 765951480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 669, 987, 261, 580, 504?
Answer: LCM of 669, 987, 261, 580, 504 is 765951480.
2. How to calculate the LCM of 669, 987, 261, 580, 504?
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, 987, 261, 580, 504.
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}.