LCM of 428, 436, 466, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 436, 466, 860 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 428, 436, 466, 860. So, keep reading to learn more.
Given numbers are 428,436,466,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,436,466,860 is 2337031940.
Find LCM of 428,436,466,860 with Prime Factorization
| 2 | 428, 436, 466, 860 |
| 2 | 214, 218, 233, 430 |
| 107, 109, 233, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 109 x 233 x 215 = 2337031940
Therefore, the lowest common multiple of 428,436,466,860 is 2337031940.
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.
428 x 436 x 466 x 860 = 74785022080
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.
428 : 1, 2, 4, 107, 214, 428
436 : 1, 2, 4, 109, 218, 436
466 : 1, 2, 233, 466
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,436,466,860, is 2.
Now, the common factors can be found like this.
428:2x 2x 107
436:2x 2x 109
466:2x 233
860:2x 2x 5x 43
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 2 = 16
Therefore, the value for common factors is 16.
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 = 74785022080/(2x16)
LCM = 74785022080/32
LCM = 2337031940
Thus, we can understand that the LCM of 428,436,466,860 is 2337031940.
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FAQs on LCM of 428, 436, 466, 860
1. What is the LCM of 428, 436, 466, 860?
Answer: LCM of 428, 436, 466, 860 is 2337031940.
2. How to calculate the LCM of 428, 436, 466, 860?
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 428, 436, 466, 860.
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}.