Find the LCM of 312, 865, 983, 111, 346 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 312, 865, 983, 111, 346. So, keep reading to learn more.
Given numbers are 312,865,983,111,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,865,983,111,346 is 9815805480.
Find LCM of 312,865,983,111,346 with Prime Factorization
2 | 312, 865, 983, 111, 346 |
3 | 156, 865, 983, 111, 173 |
173 | 52, 865, 983, 37, 173 |
52, 5, 983, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 173 x 52 x 5 x 983 x 37 x 1 = 9815805480
Therefore, the lowest common multiple of 312,865,983,111,346 is 9815805480.
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.
312 x 865 x 983 x 111 x 346 = 10188806088240
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
865 : 1, 5, 173, 865
983 : 1, 983
111 : 1, 3, 37, 111
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,865,983,111,346, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
865:5x 173
983:983
111:3x 37
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 173 = 1038
Therefore, the value for common factors is 1038.
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 = 10188806088240/(1x1038)
LCM = 10188806088240/1038
LCM = 9815805480
Thus, we can understand that the LCM of 312,865,983,111,346 is 9815805480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 865, 983, 111, 346?
Answer: LCM of 312, 865, 983, 111, 346 is 9815805480.
2. How to calculate the LCM of 312, 865, 983, 111, 346?
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 312, 865, 983, 111, 346.
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}.