Find the LCM of 305, 865, 404, 915, 260 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 305, 865, 404, 915, 260. So, keep reading to learn more.
Given numbers are 305,865,404,915,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,865,404,915,260 is 831365340.
Find LCM of 305,865,404,915,260 with Prime Factorization
2 | 305, 865, 404, 915, 260 |
2 | 305, 865, 202, 915, 130 |
5 | 305, 865, 101, 915, 65 |
61 | 61, 173, 101, 183, 13 |
1, 173, 101, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 61 x 1 x 173 x 101 x 3 x 13 = 831365340
Therefore, the lowest common multiple of 305,865,404,915,260 is 831365340.
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.
305 x 865 x 404 x 915 x 260 = 25356642870000
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.
305 : 1, 5, 61, 305
865 : 1, 5, 173, 865
404 : 1, 2, 4, 101, 202, 404
915 : 1, 3, 5, 15, 61, 183, 305, 915
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,865,404,915,260, is 1.
Now, the common factors can be found like this.
305:5x 61
865:5x 173
404:2x 2x 101
915:3x 5x 61
260:2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 5x 61 = 30500
Therefore, the value for common factors is 30500.
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 = 25356642870000/(1x30500)
LCM = 25356642870000/30500
LCM = 831365340
Thus, we can understand that the LCM of 305,865,404,915,260 is 831365340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 865, 404, 915, 260?
Answer: LCM of 305, 865, 404, 915, 260 is 831365340.
2. How to calculate the LCM of 305, 865, 404, 915, 260?
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 305, 865, 404, 915, 260.
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}.