Find the LCM of 505, 105, 676 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 505, 105, 676. So, keep reading to learn more.
Given numbers are 505,105,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,105,676 is 7168980.
Find LCM of 505,105,676 with Prime Factorization
5 | 505, 105, 676 |
101, 21, 676 |
Multiply the prime numbers at the bottom and the left side.
5 x 101 x 21 x 676 = 7168980
Therefore, the lowest common multiple of 505,105,676 is 7168980.
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.
505 x 105 x 676 = 35844900
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.
505 : 1, 5, 101, 505
105 : 1, 3, 5, 7, 15, 21, 35, 105
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,105,676, is 1.
Now, the common factors can be found like this.
505:5x 101
105:3x 5x 7
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 35844900/(1x5)
LCM = 35844900/5
LCM = 7168980
Thus, we can understand that the LCM of 505,105,676 is 7168980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 105, 676?
Answer: LCM of 505, 105, 676 is 7168980.
2. How to calculate the LCM of 505, 105, 676?
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 505, 105, 676.
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}.