Find the LCM of 696, 694, 508, 110, 310 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 696, 694, 508, 110, 310. So, keep reading to learn more.
Given numbers are 696,694,508,110,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,694,508,110,310 is 52295800920.
Find LCM of 696,694,508,110,310 with Prime Factorization
2 | 696, 694, 508, 110, 310 |
2 | 348, 347, 254, 55, 155 |
5 | 174, 347, 127, 55, 155 |
174, 347, 127, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 174 x 347 x 127 x 11 x 31 = 52295800920
Therefore, the lowest common multiple of 696,694,508,110,310 is 52295800920.
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.
696 x 694 x 508 x 110 x 310 = 8367328147200
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
694 : 1, 2, 347, 694
508 : 1, 2, 4, 127, 254, 508
110 : 1, 2, 5, 10, 11, 22, 55, 110
310 : 1, 2, 5, 10, 31, 62, 155, 310
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,694,508,110,310, is 2.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
694:2x 347
508:2x 2x 127
110:2x 5x 11
310:2x 5x 31
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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 8367328147200/(2x80)
LCM = 8367328147200/160
LCM = 52295800920
Thus, we can understand that the LCM of 696,694,508,110,310 is 52295800920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 696, 694, 508, 110, 310?
Answer: LCM of 696, 694, 508, 110, 310 is 52295800920.
2. How to calculate the LCM of 696, 694, 508, 110, 310?
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 696, 694, 508, 110, 310.
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}.