LCM of 591, 684, 412, 931, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 684, 412, 931, 565 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 591, 684, 412, 931, 565. So, keep reading to learn more.
Given numbers are 591,684,412,931,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,684,412,931,565 is 384241333140.
Find LCM of 591,684,412,931,565 with Prime Factorization
| 2 | 591, 684, 412, 931, 565 |
| 2 | 591, 342, 206, 931, 565 |
| 3 | 591, 171, 103, 931, 565 |
| 19 | 197, 57, 103, 931, 565 |
| 197, 3, 103, 49, 565 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 197 x 3 x 103 x 49 x 565 = 384241333140
Therefore, the lowest common multiple of 591,684,412,931,565 is 384241333140.
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.
591 x 684 x 412 x 931 x 565 = 87607023955920
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.
591 : 1, 3, 197, 591
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
412 : 1, 2, 4, 103, 206, 412
931 : 1, 7, 19, 49, 133, 931
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,684,412,931,565, is 1.
Now, the common factors can be found like this.
591:3x 197
684:2x 2x 3x 3x 19
412:2x 2x 103
931:7x 7x 19
565:5x 113
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 19 = 228
Therefore, the value for common factors is 228.
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 = 87607023955920/(1x228)
LCM = 87607023955920/228
LCM = 384241333140
Thus, we can understand that the LCM of 591,684,412,931,565 is 384241333140.
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FAQs on LCM of 591, 684, 412, 931, 565
1. What is the LCM of 591, 684, 412, 931, 565?
Answer: LCM of 591, 684, 412, 931, 565 is 384241333140.
2. How to calculate the LCM of 591, 684, 412, 931, 565?
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 591, 684, 412, 931, 565.
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}.