Find the LCM of 689, 302, 923, 601, 303 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 689, 302, 923, 601, 303. So, keep reading to learn more.
Given numbers are 689,302,923,601,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,302,923,601,303 is 2690305590414.
Find LCM of 689,302,923,601,303 with Prime Factorization
13 | 689, 302, 923, 601, 303 |
53, 302, 71, 601, 303 |
Multiply the prime numbers at the bottom and the left side.
13 x 53 x 302 x 71 x 601 x 303 = 2690305590414
Therefore, the lowest common multiple of 689,302,923,601,303 is 2690305590414.
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.
689 x 302 x 923 x 601 x 303 = 34973972675382
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.
689 : 1, 13, 53, 689
302 : 1, 2, 151, 302
923 : 1, 13, 71, 923
601 : 1, 601
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,302,923,601,303, is 1.
Now, the common factors can be found like this.
689:13x 53
302:2x 151
923:13x 71
601:601
303:3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 34973972675382/(1x13)
LCM = 34973972675382/13
LCM = 2690305590414
Thus, we can understand that the LCM of 689,302,923,601,303 is 2690305590414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 302, 923, 601, 303?
Answer: LCM of 689, 302, 923, 601, 303 is 2690305590414.
2. How to calculate the LCM of 689, 302, 923, 601, 303?
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 689, 302, 923, 601, 303.
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}.