LCM of 782, 342, 690, 595, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 342, 690, 595, 589 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 782, 342, 690, 595, 589. So, keep reading to learn more.
Given numbers are 782,342,690,595,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,342,690,595,589 is 145088370.
Find LCM of 782,342,690,595,589 with Prime Factorization
| 2 | 782, 342, 690, 595, 589 |
| 3 | 391, 171, 345, 595, 589 |
| 5 | 391, 57, 115, 595, 589 |
| 17 | 391, 57, 23, 119, 589 |
| 19 | 23, 57, 23, 7, 589 |
| 23 | 23, 3, 23, 7, 31 |
| 1, 3, 1, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 19 x 23 x 1 x 3 x 1 x 7 x 31 = 145088370
Therefore, the lowest common multiple of 782,342,690,595,589 is 145088370.
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.
782 x 342 x 690 x 595 x 589 = 64671690043800
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
595 : 1, 5, 7, 17, 35, 85, 119, 595
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,342,690,595,589, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
342:2x 3x 3x 19
690:2x 3x 5x 23
595:5x 7x 17
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 17x 19x 23 = 445740
Therefore, the value for common factors is 445740.
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 = 64671690043800/(1x445740)
LCM = 64671690043800/445740
LCM = 145088370
Thus, we can understand that the LCM of 782,342,690,595,589 is 145088370.
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FAQs on LCM of 782, 342, 690, 595, 589
1. What is the LCM of 782, 342, 690, 595, 589?
Answer: LCM of 782, 342, 690, 595, 589 is 145088370.
2. How to calculate the LCM of 782, 342, 690, 595, 589?
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 782, 342, 690, 595, 589.
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}.