Find the LCM of 419, 323, 975, 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 419, 323, 975, 676. So, keep reading to learn more.
Given numbers are 419,323,975,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,323,975,676 is 6861585900.
Find LCM of 419,323,975,676 with Prime Factorization
13 | 419, 323, 975, 676 |
419, 323, 75, 52 |
Multiply the prime numbers at the bottom and the left side.
13 x 419 x 323 x 75 x 52 = 6861585900
Therefore, the lowest common multiple of 419,323,975,676 is 6861585900.
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.
419 x 323 x 975 x 676 = 89200616700
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.
419 : 1, 419
323 : 1, 17, 19, 323
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 419,323,975,676, is 1.
Now, the common factors can be found like this.
419:419
323:17x 19
975:3x 5x 5x 13
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.
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 = 89200616700/(1x13)
LCM = 89200616700/13
LCM = 6861585900
Thus, we can understand that the LCM of 419,323,975,676 is 6861585900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 419, 323, 975, 676?
Answer: LCM of 419, 323, 975, 676 is 6861585900.
2. How to calculate the LCM of 419, 323, 975, 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 419, 323, 975, 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}.