Find the LCM of 698, 364, 228, 629, 703 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 698, 364, 228, 629, 703. So, keep reading to learn more.
Given numbers are 698,364,228,629,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,364,228,629,703 is 4554621708.
Find LCM of 698,364,228,629,703 with Prime Factorization
2 | 698, 364, 228, 629, 703 |
2 | 349, 182, 114, 629, 703 |
19 | 349, 91, 57, 629, 703 |
37 | 349, 91, 3, 629, 37 |
349, 91, 3, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 349 x 91 x 3 x 17 x 1 = 4554621708
Therefore, the lowest common multiple of 698,364,228,629,703 is 4554621708.
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.
698 x 364 x 228 x 629 x 703 = 25615192485792
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.
698 : 1, 2, 349, 698
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
629 : 1, 17, 37, 629
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,364,228,629,703, is 1.
Now, the common factors can be found like this.
698:2x 349
364:2x 2x 7x 13
228:2x 2x 3x 19
629:17x 37
703:19x 37
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 19x 37 = 5624
Therefore, the value for common factors is 5624.
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 = 25615192485792/(1x5624)
LCM = 25615192485792/5624
LCM = 4554621708
Thus, we can understand that the LCM of 698,364,228,629,703 is 4554621708.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 364, 228, 629, 703?
Answer: LCM of 698, 364, 228, 629, 703 is 4554621708.
2. How to calculate the LCM of 698, 364, 228, 629, 703?
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 698, 364, 228, 629, 703.
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}.