Find the LCM of 404, 313, 626, 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 404, 313, 626, 909. So, keep reading to learn more.
Given numbers are 404,313,626,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,313,626,909 is 1138068.
Find LCM of 404,313,626,909 with Prime Factorization
2 | 404, 313, 626, 909 |
101 | 202, 313, 313, 909 |
313 | 2, 313, 313, 9 |
2, 1, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 101 x 313 x 2 x 1 x 1 x 9 = 1138068
Therefore, the lowest common multiple of 404,313,626,909 is 1138068.
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.
404 x 313 x 626 x 909 = 71955487368
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.
404 : 1, 2, 4, 101, 202, 404
313 : 1, 313
626 : 1, 2, 313, 626
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 404,313,626,909, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
313:313
626:2x 313
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.
2x 101x 313 = 63226
Therefore, the value for common factors is 63226.
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 = 71955487368/(1x63226)
LCM = 71955487368/63226
LCM = 1138068
Thus, we can understand that the LCM of 404,313,626,909 is 1138068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 404, 313, 626, 909?
Answer: LCM of 404, 313, 626, 909 is 1138068.
2. How to calculate the LCM of 404, 313, 626, 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 404, 313, 626, 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}.