Find the LCM of 674, 835, 711, 284 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 674, 835, 711, 284. So, keep reading to learn more.
Given numbers are 674,835,711,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,835,711,284 is 56820403980.
Find LCM of 674,835,711,284 with Prime Factorization
2 | 674, 835, 711, 284 |
337, 835, 711, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 835 x 711 x 142 = 56820403980
Therefore, the lowest common multiple of 674,835,711,284 is 56820403980.
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.
674 x 835 x 711 x 284 = 113640807960
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.
674 : 1, 2, 337, 674
835 : 1, 5, 167, 835
711 : 1, 3, 9, 79, 237, 711
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,835,711,284, is 1.
Now, the common factors can be found like this.
674:2x 337
835:5x 167
711:3x 3x 79
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 113640807960/(1x2)
LCM = 113640807960/2
LCM = 56820403980
Thus, we can understand that the LCM of 674,835,711,284 is 56820403980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 835, 711, 284?
Answer: LCM of 674, 835, 711, 284 is 56820403980.
2. How to calculate the LCM of 674, 835, 711, 284?
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 674, 835, 711, 284.
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}.