LCM of 860, 514, 583, 890, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 514, 583, 890, 648 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 860, 514, 583, 890, 648. So, keep reading to learn more.
Given numbers are 860,514,583,890,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,514,583,890,648 is 1857826487880.
Find LCM of 860,514,583,890,648 with Prime Factorization
| 2 | 860, 514, 583, 890, 648 |
| 2 | 430, 257, 583, 445, 324 |
| 5 | 215, 257, 583, 445, 162 |
| 43, 257, 583, 89, 162 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 257 x 583 x 89 x 162 = 1857826487880
Therefore, the lowest common multiple of 860,514,583,890,648 is 1857826487880.
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.
860 x 514 x 583 x 890 x 648 = 148626119030400
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
514 : 1, 2, 257, 514
583 : 1, 11, 53, 583
890 : 1, 2, 5, 10, 89, 178, 445, 890
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,514,583,890,648, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
514:2x 257
583:11x 53
890:2x 5x 89
648:2x 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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 148626119030400/(1x80)
LCM = 148626119030400/80
LCM = 1857826487880
Thus, we can understand that the LCM of 860,514,583,890,648 is 1857826487880.
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FAQs on LCM of 860, 514, 583, 890, 648
1. What is the LCM of 860, 514, 583, 890, 648?
Answer: LCM of 860, 514, 583, 890, 648 is 1857826487880.
2. How to calculate the LCM of 860, 514, 583, 890, 648?
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 860, 514, 583, 890, 648.
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}.