LCM of 590, 680, 792, 310, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 680, 792, 310, 340 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, 680, 792, 310, 340. So, keep reading to learn more.
Given numbers are 590,680,792,310,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,680,792,310,340 is 123128280.
Find LCM of 590,680,792,310,340 with Prime Factorization
| 2 | 590, 680, 792, 310, 340 |
| 2 | 295, 340, 396, 155, 170 |
| 2 | 295, 85, 198, 155, 170 |
| 5 | 295, 85, 99, 155, 85 |
| 17 | 59, 17, 99, 31, 17 |
| 59, 1, 99, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 59 x 1 x 99 x 31 x 1 = 123128280
Therefore, the lowest common multiple of 590,680,792,310,340 is 123128280.
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 680 x 792 x 310 x 340 = 33490892160000
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
310 : 1, 2, 5, 10, 31, 62, 155, 310
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,680,792,310,340, is 2.
Now, the common factors can be found like this.
590:2x 5x 59
680:2x 2x 2x 5x 17
792:2x 2x 2x 3x 3x 11
310:2x 5x 31
340:2x 2x 5x 17
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 2x 2x 2x 2x 5x 5x 5x 17 = 136000
Therefore, the value for common factors is 136000.
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 = 33490892160000/(2x136000)
LCM = 33490892160000/272000
LCM = 123128280
Thus, we can understand that the LCM of 590,680,792,310,340 is 123128280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 680, 792, 310, 340
1. What is the LCM of 590, 680, 792, 310, 340?
Answer: LCM of 590, 680, 792, 310, 340 is 123128280.
2. How to calculate the LCM of 590, 680, 792, 310, 340?
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, 680, 792, 310, 340.
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}.