Find the LCM of 683, 116, 107, 232 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 683, 116, 107, 232. So, keep reading to learn more.
Given numbers are 683,116,107,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,116,107,232 is 16954792.
Find LCM of 683,116,107,232 with Prime Factorization
2 | 683, 116, 107, 232 |
2 | 683, 58, 107, 116 |
29 | 683, 29, 107, 58 |
683, 1, 107, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 683 x 1 x 107 x 2 = 16954792
Therefore, the lowest common multiple of 683,116,107,232 is 16954792.
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.
683 x 116 x 107 x 232 = 1966755872
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.
683 : 1, 683
116 : 1, 2, 4, 29, 58, 116
107 : 1, 107
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,116,107,232, is 1.
Now, the common factors can be found like this.
683:683
116:2x 2x 29
107:107
232:2x 2x 2x 29
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 29 = 116
Therefore, the value for common factors is 116.
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 = 1966755872/(1x116)
LCM = 1966755872/116
LCM = 16954792
Thus, we can understand that the LCM of 683,116,107,232 is 16954792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 116, 107, 232?
Answer: LCM of 683, 116, 107, 232 is 16954792.
2. How to calculate the LCM of 683, 116, 107, 232?
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 683, 116, 107, 232.
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}.