LCM of 860, 803, 860, 265, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 803, 860, 265, 667 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, 803, 860, 265, 667. So, keep reading to learn more.
Given numbers are 860,803,860,265,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,803,860,265,667 is 24412693580.
Find LCM of 860,803,860,265,667 with Prime Factorization
| 2 | 860, 803, 860, 265, 667 |
| 2 | 430, 803, 430, 265, 667 |
| 5 | 215, 803, 215, 265, 667 |
| 43 | 43, 803, 43, 53, 667 |
| 1, 803, 1, 53, 667 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 1 x 803 x 1 x 53 x 667 = 24412693580
Therefore, the lowest common multiple of 860,803,860,265,667 is 24412693580.
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 803 x 860 x 265 x 667 = 104974582394000
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
803 : 1, 11, 73, 803
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
265 : 1, 5, 53, 265
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,803,860,265,667, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
803:11x 73
860:2x 2x 5x 43
265:5x 53
667:23x 29
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 5x 5x 43 = 4300
Therefore, the value for common factors is 4300.
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 = 104974582394000/(1x4300)
LCM = 104974582394000/4300
LCM = 24412693580
Thus, we can understand that the LCM of 860,803,860,265,667 is 24412693580.
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FAQs on LCM of 860, 803, 860, 265, 667
1. What is the LCM of 860, 803, 860, 265, 667?
Answer: LCM of 860, 803, 860, 265, 667 is 24412693580.
2. How to calculate the LCM of 860, 803, 860, 265, 667?
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, 803, 860, 265, 667.
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}.