LCM of 408, 860, 212, 786, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 860, 212, 786, 906 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 408, 860, 212, 786, 906. So, keep reading to learn more.
Given numbers are 408,860,212,786,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,860,212,786,906 is 91965033960.
Find LCM of 408,860,212,786,906 with Prime Factorization
| 2 | 408, 860, 212, 786, 906 |
| 2 | 204, 430, 106, 393, 453 |
| 3 | 102, 215, 53, 393, 453 |
| 34, 215, 53, 131, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 34 x 215 x 53 x 131 x 151 = 91965033960
Therefore, the lowest common multiple of 408,860,212,786,906 is 91965033960.
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.
408 x 860 x 212 x 786 x 906 = 52971859560960
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
212 : 1, 2, 4, 53, 106, 212
786 : 1, 2, 3, 6, 131, 262, 393, 786
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,860,212,786,906, is 2.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
860:2x 2x 5x 43
212:2x 2x 53
786:2x 3x 131
906:2x 3x 151
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 52971859560960/(2x288)
LCM = 52971859560960/576
LCM = 91965033960
Thus, we can understand that the LCM of 408,860,212,786,906 is 91965033960.
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FAQs on LCM of 408, 860, 212, 786, 906
1. What is the LCM of 408, 860, 212, 786, 906?
Answer: LCM of 408, 860, 212, 786, 906 is 91965033960.
2. How to calculate the LCM of 408, 860, 212, 786, 906?
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 408, 860, 212, 786, 906.
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}.