Find the LCM of 898, 782, 992, 626 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 898, 782, 992, 626. So, keep reading to learn more.
Given numbers are 898,782,992,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,782,992,626 is 54510367264.
Find LCM of 898,782,992,626 with Prime Factorization
2 | 898, 782, 992, 626 |
449, 391, 496, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 449 x 391 x 496 x 313 = 54510367264
Therefore, the lowest common multiple of 898,782,992,626 is 54510367264.
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.
898 x 782 x 992 x 626 = 436082938112
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.
898 : 1, 2, 449, 898
782 : 1, 2, 17, 23, 34, 46, 391, 782
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
626 : 1, 2, 313, 626
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,782,992,626, is 2.
Now, the common factors can be found like this.
898:2x 449
782:2x 17x 23
992:2x 2x 2x 2x 2x 31
626:2x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 436082938112/(2x4)
LCM = 436082938112/8
LCM = 54510367264
Thus, we can understand that the LCM of 898,782,992,626 is 54510367264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 898, 782, 992, 626?
Answer: LCM of 898, 782, 992, 626 is 54510367264.
2. How to calculate the LCM of 898, 782, 992, 626?
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 898, 782, 992, 626.
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}.