LCM of 860, 436, 379, 654, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 436, 379, 654, 805 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, 436, 379, 654, 805. So, keep reading to learn more.
Given numbers are 860,436,379,654,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,436,379,654,805 is 17159763180.
Find LCM of 860,436,379,654,805 with Prime Factorization
| 2 | 860, 436, 379, 654, 805 |
| 2 | 430, 218, 379, 327, 805 |
| 5 | 215, 109, 379, 327, 805 |
| 109 | 43, 109, 379, 327, 161 |
| 43, 1, 379, 3, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 109 x 43 x 1 x 379 x 3 x 161 = 17159763180
Therefore, the lowest common multiple of 860,436,379,654,805 is 17159763180.
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 436 x 379 x 654 x 805 = 74816567464800
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
436 : 1, 2, 4, 109, 218, 436
379 : 1, 379
654 : 1, 2, 3, 6, 109, 218, 327, 654
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,436,379,654,805, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
436:2x 2x 109
379:379
654:2x 3x 109
805:5x 7x 23
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 5x 109 = 4360
Therefore, the value for common factors is 4360.
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 = 74816567464800/(1x4360)
LCM = 74816567464800/4360
LCM = 17159763180
Thus, we can understand that the LCM of 860,436,379,654,805 is 17159763180.
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FAQs on LCM of 860, 436, 379, 654, 805
1. What is the LCM of 860, 436, 379, 654, 805?
Answer: LCM of 860, 436, 379, 654, 805 is 17159763180.
2. How to calculate the LCM of 860, 436, 379, 654, 805?
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, 436, 379, 654, 805.
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}.