Find the LCM of 583, 113, 917, 524 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 583, 113, 917, 524. So, keep reading to learn more.
Given numbers are 583,113,917,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,113,917,524 is 241644172.
Find LCM of 583,113,917,524 with Prime Factorization
131 | 583, 113, 917, 524 |
583, 113, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
131 x 583 x 113 x 7 x 4 = 241644172
Therefore, the lowest common multiple of 583,113,917,524 is 241644172.
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.
583 x 113 x 917 x 524 = 31655386532
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.
583 : 1, 11, 53, 583
113 : 1, 113
917 : 1, 7, 131, 917
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,113,917,524, is 1.
Now, the common factors can be found like this.
583:11x 53
113:113
917:7x 131
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 31655386532/(1x131)
LCM = 31655386532/131
LCM = 241644172
Thus, we can understand that the LCM of 583,113,917,524 is 241644172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 583, 113, 917, 524?
Answer: LCM of 583, 113, 917, 524 is 241644172.
2. How to calculate the LCM of 583, 113, 917, 524?
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 583, 113, 917, 524.
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}.