Find the LCM of 6357, 8076 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 6357, 8076. So, keep reading to learn more.
Given numbers are 6357,8076
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6357,8076 is 17113044.
Find LCM of 6357,8076 with Prime Factorization
| 3 | 6357, 8076 |
| 2119, 2692 |
Multiply the prime numbers at the bottom and the left side.
3 x 2119 x 2692 = 17113044
Therefore, the lowest common multiple of 6357,8076 is 17113044.
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.
6357 x 8076 = 51339132
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.
6357 : 1, 3, 13, 39, 163, 489, 2119, 6357
8076 : 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6357,8076, is 3.
Now, the common factors can be found like this.
6357:3x 13x 163
8076:2x 2x 3x 673
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 = 51339132/(3x1)
LCM = 51339132/3
LCM = 17113044
Thus, we can understand that the LCM of 6357,8076 is 17113044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6357, 8076?
Answer: LCM of 6357, 8076 is 17113044.
2. How to calculate the LCM of 6357, 8076?
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 6357, 8076.
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}.