Find the LCM of 947, 845, 507, 403 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 947, 845, 507, 403. So, keep reading to learn more.
Given numbers are 947,845,507,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,845,507,403 is 74419995.
Find LCM of 947,845,507,403 with Prime Factorization
13 | 947, 845, 507, 403 |
13 | 947, 65, 39, 31 |
947, 5, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 947 x 5 x 3 x 31 = 74419995
Therefore, the lowest common multiple of 947,845,507,403 is 74419995.
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.
947 x 845 x 507 x 403 = 163500729015
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.
947 : 1, 947
845 : 1, 5, 13, 65, 169, 845
507 : 1, 3, 13, 39, 169, 507
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,845,507,403, is 1.
Now, the common factors can be found like this.
947:947
845:5x 13x 13
507:3x 13x 13
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 13 = 2197
Therefore, the value for common factors is 2197.
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 = 163500729015/(1x2197)
LCM = 163500729015/2197
LCM = 74419995
Thus, we can understand that the LCM of 947,845,507,403 is 74419995.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 845, 507, 403?
Answer: LCM of 947, 845, 507, 403 is 74419995.
2. How to calculate the LCM of 947, 845, 507, 403?
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 947, 845, 507, 403.
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}.