LCM of 569, 399, 372, 651, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 569, 399, 372, 651, 990 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 569, 399, 372, 651, 990. So, keep reading to learn more.
Given numbers are 569,399,372,651,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,399,372,651,990 is 4645054260.
Find LCM of 569,399,372,651,990 with Prime Factorization
| 2 | 569, 399, 372, 651, 990 |
| 3 | 569, 399, 186, 651, 495 |
| 7 | 569, 133, 62, 217, 165 |
| 31 | 569, 19, 62, 31, 165 |
| 569, 19, 2, 1, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 569 x 19 x 2 x 1 x 165 = 4645054260
Therefore, the lowest common multiple of 569,399,372,651,990 is 4645054260.
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.
569 x 399 x 372 x 651 x 990 = 54430745818680
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.
569 : 1, 569
399 : 1, 3, 7, 19, 21, 57, 133, 399
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
651 : 1, 3, 7, 21, 31, 93, 217, 651
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,399,372,651,990, is 1.
Now, the common factors can be found like this.
569:569
399:3x 7x 19
372:2x 2x 3x 31
651:3x 7x 31
990:2x 3x 3x 5x 11
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 3x 3x 7x 31 = 11718
Therefore, the value for common factors is 11718.
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 = 54430745818680/(1x11718)
LCM = 54430745818680/11718
LCM = 4645054260
Thus, we can understand that the LCM of 569,399,372,651,990 is 4645054260.
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FAQs on LCM of 569, 399, 372, 651, 990
1. What is the LCM of 569, 399, 372, 651, 990?
Answer: LCM of 569, 399, 372, 651, 990 is 4645054260.
2. How to calculate the LCM of 569, 399, 372, 651, 990?
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 569, 399, 372, 651, 990.
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}.