LCM of 860, 420, 211, 422, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 420, 211, 422, 107 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, 420, 211, 422, 107. So, keep reading to learn more.
Given numbers are 860,420,211,422,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,420,211,422,107 is 407740620.
Find LCM of 860,420,211,422,107 with Prime Factorization
| 2 | 860, 420, 211, 422, 107 |
| 2 | 430, 210, 211, 211, 107 |
| 5 | 215, 105, 211, 211, 107 |
| 211 | 43, 21, 211, 211, 107 |
| 43, 21, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 211 x 43 x 21 x 1 x 1 x 107 = 407740620
Therefore, the lowest common multiple of 860,420,211,422,107 is 407740620.
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 420 x 211 x 422 x 107 = 3441330832800
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
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
211 : 1, 211
422 : 1, 2, 211, 422
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,420,211,422,107, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
420:2x 2x 3x 5x 7
211:211
422:2x 211
107:107
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 211 = 8440
Therefore, the value for common factors is 8440.
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 = 3441330832800/(1x8440)
LCM = 3441330832800/8440
LCM = 407740620
Thus, we can understand that the LCM of 860,420,211,422,107 is 407740620.
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FAQs on LCM of 860, 420, 211, 422, 107
1. What is the LCM of 860, 420, 211, 422, 107?
Answer: LCM of 860, 420, 211, 422, 107 is 407740620.
2. How to calculate the LCM of 860, 420, 211, 422, 107?
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, 420, 211, 422, 107.
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}.