LCM of 589, 766, 591, 340, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 766, 591, 340, 965 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 589, 766, 591, 340, 965. So, keep reading to learn more.
Given numbers are 589,766,591,340,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,766,591,340,965 is 8748584193540.
Find LCM of 589,766,591,340,965 with Prime Factorization
| 2 | 589, 766, 591, 340, 965 |
| 5 | 589, 383, 591, 170, 965 |
| 589, 383, 591, 34, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 589 x 383 x 591 x 34 x 193 = 8748584193540
Therefore, the lowest common multiple of 589,766,591,340,965 is 8748584193540.
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.
589 x 766 x 591 x 340 x 965 = 87485841935400
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.
589 : 1, 19, 31, 589
766 : 1, 2, 383, 766
591 : 1, 3, 197, 591
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,766,591,340,965, is 1.
Now, the common factors can be found like this.
589:19x 31
766:2x 383
591:3x 197
340:2x 2x 5x 17
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 87485841935400/(1x10)
LCM = 87485841935400/10
LCM = 8748584193540
Thus, we can understand that the LCM of 589,766,591,340,965 is 8748584193540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 766, 591, 340, 965
1. What is the LCM of 589, 766, 591, 340, 965?
Answer: LCM of 589, 766, 591, 340, 965 is 8748584193540.
2. How to calculate the LCM of 589, 766, 591, 340, 965?
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 589, 766, 591, 340, 965.
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}.