Find the LCM of 949, 595, 501, 538, 865 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 949, 595, 501, 538, 865. So, keep reading to learn more.
Given numbers are 949,595,501,538,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,595,501,538,865 is 26329904434470.
Find LCM of 949,595,501,538,865 with Prime Factorization
5 | 949, 595, 501, 538, 865 |
949, 119, 501, 538, 173 |
Multiply the prime numbers at the bottom and the left side.
5 x 949 x 119 x 501 x 538 x 173 = 26329904434470
Therefore, the lowest common multiple of 949,595,501,538,865 is 26329904434470.
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.
949 x 595 x 501 x 538 x 865 = 131649522172350
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.
949 : 1, 13, 73, 949
595 : 1, 5, 7, 17, 35, 85, 119, 595
501 : 1, 3, 167, 501
538 : 1, 2, 269, 538
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,595,501,538,865, is 1.
Now, the common factors can be found like this.
949:13x 73
595:5x 7x 17
501:3x 167
538:2x 269
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 131649522172350/(1x5)
LCM = 131649522172350/5
LCM = 26329904434470
Thus, we can understand that the LCM of 949,595,501,538,865 is 26329904434470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 949, 595, 501, 538, 865?
Answer: LCM of 949, 595, 501, 538, 865 is 26329904434470.
2. How to calculate the LCM of 949, 595, 501, 538, 865?
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 949, 595, 501, 538, 865.
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}.