Find the LCM of 635, 953, 993, 735, 389 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 635, 953, 993, 735, 389. So, keep reading to learn more.
Given numbers are 635,953,993,735,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,953,993,735,389 is 11454115438815.
Find LCM of 635,953,993,735,389 with Prime Factorization
3 | 635, 953, 993, 735, 389 |
5 | 635, 953, 331, 245, 389 |
127, 953, 331, 49, 389 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 127 x 953 x 331 x 49 x 389 = 11454115438815
Therefore, the lowest common multiple of 635,953,993,735,389 is 11454115438815.
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.
635 x 953 x 993 x 735 x 389 = 171811731582225
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.
635 : 1, 5, 127, 635
953 : 1, 953
993 : 1, 3, 331, 993
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,953,993,735,389, is 1.
Now, the common factors can be found like this.
635:5x 127
953:953
993:3x 331
735:3x 5x 7x 7
389:389
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 171811731582225/(1x15)
LCM = 171811731582225/15
LCM = 11454115438815
Thus, we can understand that the LCM of 635,953,993,735,389 is 11454115438815.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 953, 993, 735, 389?
Answer: LCM of 635, 953, 993, 735, 389 is 11454115438815.
2. How to calculate the LCM of 635, 953, 993, 735, 389?
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 635, 953, 993, 735, 389.
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}.