Find the LCM of 995, 105, 735, 831, 775 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 995, 105, 735, 831, 775. So, keep reading to learn more.
Given numbers are 995,105,735,831,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,105,735,831,775 is 6279887775.
Find LCM of 995,105,735,831,775 with Prime Factorization
3 | 995, 105, 735, 831, 775 |
5 | 995, 35, 245, 277, 775 |
7 | 199, 7, 49, 277, 155 |
199, 1, 7, 277, 155 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 199 x 1 x 7 x 277 x 155 = 6279887775
Therefore, the lowest common multiple of 995,105,735,831,775 is 6279887775.
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.
995 x 105 x 735 x 831 x 775 = 49454116228125
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.
995 : 1, 5, 199, 995
105 : 1, 3, 5, 7, 15, 21, 35, 105
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
831 : 1, 3, 277, 831
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,105,735,831,775, is 1.
Now, the common factors can be found like this.
995:5x 199
105:3x 5x 7
735:3x 5x 7x 7
831:3x 277
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 5x 7 = 7875
Therefore, the value for common factors is 7875.
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 = 49454116228125/(1x7875)
LCM = 49454116228125/7875
LCM = 6279887775
Thus, we can understand that the LCM of 995,105,735,831,775 is 6279887775.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 105, 735, 831, 775?
Answer: LCM of 995, 105, 735, 831, 775 is 6279887775.
2. How to calculate the LCM of 995, 105, 735, 831, 775?
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 995, 105, 735, 831, 775.
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}.