Find the LCM of 6142, 8354 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 6142, 8354. So, keep reading to learn more.
Given numbers are 6142,8354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6142,8354 is 25655134.
Find LCM of 6142,8354 with Prime Factorization
| 2 | 6142, 8354 |
| 3071, 4177 |
Multiply the prime numbers at the bottom and the left side.
2 x 3071 x 4177 = 25655134
Therefore, the lowest common multiple of 6142,8354 is 25655134.
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.
6142 x 8354 = 51310268
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.
6142 : 1, 2, 37, 74, 83, 166, 3071, 6142
8354 : 1, 2, 4177, 8354
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6142,8354, is 2.
Now, the common factors can be found like this.
6142:2x 37x 83
8354:2x 4177
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 51310268/(2x1)
LCM = 51310268/2
LCM = 25655134
Thus, we can understand that the LCM of 6142,8354 is 25655134.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6142, 8354?
Answer: LCM of 6142, 8354 is 25655134.
2. How to calculate the LCM of 6142, 8354?
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 6142, 8354.
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}.