LCM of 591, 355, 985, 515, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 355, 985, 515, 545 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 591, 355, 985, 515, 545. So, keep reading to learn more.
Given numbers are 591,355,985,515,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,355,985,515,545 is 2355480735.
Find LCM of 591,355,985,515,545 with Prime Factorization
| 5 | 591, 355, 985, 515, 545 |
| 197 | 591, 71, 197, 103, 109 |
| 3, 71, 1, 103, 109 |
Multiply the prime numbers at the bottom and the left side.
5 x 197 x 3 x 71 x 1 x 103 x 109 = 2355480735
Therefore, the lowest common multiple of 591,355,985,515,545 is 2355480735.
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.
591 x 355 x 985 x 515 x 545 = 58003713099375
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.
591 : 1, 3, 197, 591
355 : 1, 5, 71, 355
985 : 1, 5, 197, 985
515 : 1, 5, 103, 515
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,355,985,515,545, is 1.
Now, the common factors can be found like this.
591:3x 197
355:5x 71
985:5x 197
515:5x 103
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 197 = 24625
Therefore, the value for common factors is 24625.
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 = 58003713099375/(1x24625)
LCM = 58003713099375/24625
LCM = 2355480735
Thus, we can understand that the LCM of 591,355,985,515,545 is 2355480735.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 355, 985, 515, 545
1. What is the LCM of 591, 355, 985, 515, 545?
Answer: LCM of 591, 355, 985, 515, 545 is 2355480735.
2. How to calculate the LCM of 591, 355, 985, 515, 545?
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 591, 355, 985, 515, 545.
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}.