Find the LCM of 590, 997, 167, 146, 617 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 590, 997, 167, 146, 617. So, keep reading to learn more.
Given numbers are 590,997,167,146,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,997,167,146,617 is 4424576060810.
Find LCM of 590,997,167,146,617 with Prime Factorization
2 | 590, 997, 167, 146, 617 |
295, 997, 167, 73, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 295 x 997 x 167 x 73 x 617 = 4424576060810
Therefore, the lowest common multiple of 590,997,167,146,617 is 4424576060810.
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.
590 x 997 x 167 x 146 x 617 = 8849152121620
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
997 : 1, 997
167 : 1, 167
146 : 1, 2, 73, 146
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,997,167,146,617, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
997:997
167:167
146:2x 73
617:617
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 = 8849152121620/(1x2)
LCM = 8849152121620/2
LCM = 4424576060810
Thus, we can understand that the LCM of 590,997,167,146,617 is 4424576060810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 997, 167, 146, 617?
Answer: LCM of 590, 997, 167, 146, 617 is 4424576060810.
2. How to calculate the LCM of 590, 997, 167, 146, 617?
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 590, 997, 167, 146, 617.
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}.