Find the LCM of 920, 325, 985, 795, 482 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 920, 325, 985, 795, 482. So, keep reading to learn more.
Given numbers are 920,325,985,795,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,325,985,795,482 is 451420811400.
Find LCM of 920,325,985,795,482 with Prime Factorization
2 | 920, 325, 985, 795, 482 |
5 | 460, 325, 985, 795, 241 |
92, 65, 197, 159, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 92 x 65 x 197 x 159 x 241 = 451420811400
Therefore, the lowest common multiple of 920,325,985,795,482 is 451420811400.
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.
920 x 325 x 985 x 795 x 482 = 112855202850000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
325 : 1, 5, 13, 25, 65, 325
985 : 1, 5, 197, 985
795 : 1, 3, 5, 15, 53, 159, 265, 795
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,325,985,795,482, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
325:5x 5x 13
985:5x 197
795:3x 5x 53
482:2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 112855202850000/(1x250)
LCM = 112855202850000/250
LCM = 451420811400
Thus, we can understand that the LCM of 920,325,985,795,482 is 451420811400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 325, 985, 795, 482?
Answer: LCM of 920, 325, 985, 795, 482 is 451420811400.
2. How to calculate the LCM of 920, 325, 985, 795, 482?
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 920, 325, 985, 795, 482.
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}.