Find the LCM of 712, 984, 979, 895, 842 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 712, 984, 979, 895, 842. So, keep reading to learn more.
Given numbers are 712,984,979,895,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,984,979,895,842 is 362980188120.
Find LCM of 712,984,979,895,842 with Prime Factorization
2 | 712, 984, 979, 895, 842 |
2 | 356, 492, 979, 895, 421 |
2 | 178, 246, 979, 895, 421 |
89 | 89, 123, 979, 895, 421 |
1, 123, 11, 895, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 89 x 1 x 123 x 11 x 895 x 421 = 362980188120
Therefore, the lowest common multiple of 712,984,979,895,842 is 362980188120.
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.
712 x 984 x 979 x 895 x 842 = 516883787882880
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
979 : 1, 11, 89, 979
895 : 1, 5, 179, 895
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,984,979,895,842, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
984:2x 2x 2x 3x 41
979:11x 89
895:5x 179
842:2x 421
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 2x 89 = 1424
Therefore, the value for common factors is 1424.
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 = 516883787882880/(1x1424)
LCM = 516883787882880/1424
LCM = 362980188120
Thus, we can understand that the LCM of 712,984,979,895,842 is 362980188120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 712, 984, 979, 895, 842?
Answer: LCM of 712, 984, 979, 895, 842 is 362980188120.
2. How to calculate the LCM of 712, 984, 979, 895, 842?
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 712, 984, 979, 895, 842.
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}.