LCM of 559, 680, 578, 765, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 680, 578, 765, 510 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 559, 680, 578, 765, 510. So, keep reading to learn more.
Given numbers are 559,680,578,765,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,680,578,765,510 is 58158360.
Find LCM of 559,680,578,765,510 with Prime Factorization
| 2 | 559, 680, 578, 765, 510 |
| 3 | 559, 340, 289, 765, 255 |
| 5 | 559, 340, 289, 85, 255 |
| 17 | 559, 68, 289, 17, 51 |
| 559, 4, 1, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 559 x 4 x 1 x 17 x 3 = 58158360
Therefore, the lowest common multiple of 559,680,578,765,510 is 58158360.
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.
559 x 680 x 578 x 765 x 510 = 85719606804000
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.
559 : 1, 13, 43, 559
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
578 : 1, 2, 17, 34, 289, 578
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,680,578,765,510, is 1.
Now, the common factors can be found like this.
559:13x 43
680:2x 2x 2x 5x 17
578:2x 17x 17
765:3x 3x 5x 17
510:2x 3x 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 3x 5x 5x 17x 17x 17 = 1473900
Therefore, the value for common factors is 1473900.
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 = 85719606804000/(1x1473900)
LCM = 85719606804000/1473900
LCM = 58158360
Thus, we can understand that the LCM of 559,680,578,765,510 is 58158360.
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FAQs on LCM of 559, 680, 578, 765, 510
1. What is the LCM of 559, 680, 578, 765, 510?
Answer: LCM of 559, 680, 578, 765, 510 is 58158360.
2. How to calculate the LCM of 559, 680, 578, 765, 510?
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 559, 680, 578, 765, 510.
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}.