Find the LCM of 852, 781, 800, 958 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 852, 781, 800, 958. So, keep reading to learn more.
Given numbers are 852,781,800,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,781,800,958 is 897837600.
Find LCM of 852,781,800,958 with Prime Factorization
2 | 852, 781, 800, 958 |
2 | 426, 781, 400, 479 |
71 | 213, 781, 200, 479 |
3, 11, 200, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 3 x 11 x 200 x 479 = 897837600
Therefore, the lowest common multiple of 852,781,800,958 is 897837600.
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.
852 x 781 x 800 x 958 = 509971756800
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
781 : 1, 11, 71, 781
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,781,800,958, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
781:11x 71
800:2x 2x 2x 2x 2x 5x 5
958:2x 479
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 2x 71 = 568
Therefore, the value for common factors is 568.
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 = 509971756800/(1x568)
LCM = 509971756800/568
LCM = 897837600
Thus, we can understand that the LCM of 852,781,800,958 is 897837600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 781, 800, 958?
Answer: LCM of 852, 781, 800, 958 is 897837600.
2. How to calculate the LCM of 852, 781, 800, 958?
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 852, 781, 800, 958.
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}.