Find the LCM of 587, 795, 422, 824 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 587, 795, 422, 824. So, keep reading to learn more.
Given numbers are 587,795,422,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,795,422,824 is 81136243560.
Find LCM of 587,795,422,824 with Prime Factorization
2 | 587, 795, 422, 824 |
587, 795, 211, 412 |
Multiply the prime numbers at the bottom and the left side.
2 x 587 x 795 x 211 x 412 = 81136243560
Therefore, the lowest common multiple of 587,795,422,824 is 81136243560.
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.
587 x 795 x 422 x 824 = 162272487120
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.
587 : 1, 587
795 : 1, 3, 5, 15, 53, 159, 265, 795
422 : 1, 2, 211, 422
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,795,422,824, is 1.
Now, the common factors can be found like this.
587:587
795:3x 5x 53
422:2x 211
824:2x 2x 2x 103
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 = 162272487120/(1x2)
LCM = 162272487120/2
LCM = 81136243560
Thus, we can understand that the LCM of 587,795,422,824 is 81136243560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 795, 422, 824?
Answer: LCM of 587, 795, 422, 824 is 81136243560.
2. How to calculate the LCM of 587, 795, 422, 824?
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 587, 795, 422, 824.
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}.