Find the LCM of 706, 830, 586, 366 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 706, 830, 586, 366. So, keep reading to learn more.
Given numbers are 706,830,586,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,830,586,366 is 15709830810.
Find LCM of 706,830,586,366 with Prime Factorization
2 | 706, 830, 586, 366 |
353, 415, 293, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 353 x 415 x 293 x 183 = 15709830810
Therefore, the lowest common multiple of 706,830,586,366 is 15709830810.
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.
706 x 830 x 586 x 366 = 125678646480
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.
706 : 1, 2, 353, 706
830 : 1, 2, 5, 10, 83, 166, 415, 830
586 : 1, 2, 293, 586
366 : 1, 2, 3, 6, 61, 122, 183, 366
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,830,586,366, is 2.
Now, the common factors can be found like this.
706:2x 353
830:2x 5x 83
586:2x 293
366:2x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 125678646480/(2x4)
LCM = 125678646480/8
LCM = 15709830810
Thus, we can understand that the LCM of 706,830,586,366 is 15709830810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 830, 586, 366?
Answer: LCM of 706, 830, 586, 366 is 15709830810.
2. How to calculate the LCM of 706, 830, 586, 366?
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 706, 830, 586, 366.
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}.