Find the LCM of 681, 404, 917, 909 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 681, 404, 917, 909. So, keep reading to learn more.
Given numbers are 681,404,917,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,404,917,909 is 756866124.
Find LCM of 681,404,917,909 with Prime Factorization
3 | 681, 404, 917, 909 |
101 | 227, 404, 917, 303 |
227, 4, 917, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 227 x 4 x 917 x 3 = 756866124
Therefore, the lowest common multiple of 681,404,917,909 is 756866124.
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.
681 x 404 x 917 x 909 = 229330435572
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.
681 : 1, 3, 227, 681
404 : 1, 2, 4, 101, 202, 404
917 : 1, 7, 131, 917
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,404,917,909, is 1.
Now, the common factors can be found like this.
681:3x 227
404:2x 2x 101
917:7x 131
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 101 = 303
Therefore, the value for common factors is 303.
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 = 229330435572/(1x303)
LCM = 229330435572/303
LCM = 756866124
Thus, we can understand that the LCM of 681,404,917,909 is 756866124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 404, 917, 909?
Answer: LCM of 681, 404, 917, 909 is 756866124.
2. How to calculate the LCM of 681, 404, 917, 909?
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 681, 404, 917, 909.
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}.