LCM of 565, 420, 642, 890, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 420, 642, 890, 614 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 565, 420, 642, 890, 614. So, keep reading to learn more.
Given numbers are 565,420,642,890,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,420,642,890,614 is 138752205060.
Find LCM of 565,420,642,890,614 with Prime Factorization
| 2 | 565, 420, 642, 890, 614 |
| 3 | 565, 210, 321, 445, 307 |
| 5 | 565, 70, 107, 445, 307 |
| 113, 14, 107, 89, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 14 x 107 x 89 x 307 = 138752205060
Therefore, the lowest common multiple of 565,420,642,890,614 is 138752205060.
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.
565 x 420 x 642 x 890 x 614 = 83251323036000
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.
565 : 1, 5, 113, 565
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
642 : 1, 2, 3, 6, 107, 214, 321, 642
890 : 1, 2, 5, 10, 89, 178, 445, 890
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,420,642,890,614, is 1.
Now, the common factors can be found like this.
565:5x 113
420:2x 2x 3x 5x 7
642:2x 3x 107
890:2x 5x 89
614:2x 307
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 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 83251323036000/(1x600)
LCM = 83251323036000/600
LCM = 138752205060
Thus, we can understand that the LCM of 565,420,642,890,614 is 138752205060.
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FAQs on LCM of 565, 420, 642, 890, 614
1. What is the LCM of 565, 420, 642, 890, 614?
Answer: LCM of 565, 420, 642, 890, 614 is 138752205060.
2. How to calculate the LCM of 565, 420, 642, 890, 614?
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 565, 420, 642, 890, 614.
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}.