LCM of 559, 533, 940, 560, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 533, 940, 560, 680 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, 533, 940, 560, 680. So, keep reading to learn more.
Given numbers are 559,533,940,560,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,533,940,560,680 is 10254877360.
Find LCM of 559,533,940,560,680 with Prime Factorization
| 2 | 559, 533, 940, 560, 680 |
| 2 | 559, 533, 470, 280, 340 |
| 2 | 559, 533, 235, 140, 170 |
| 5 | 559, 533, 235, 70, 85 |
| 13 | 559, 533, 47, 14, 17 |
| 43, 41, 47, 14, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 43 x 41 x 47 x 14 x 17 = 10254877360
Therefore, the lowest common multiple of 559,533,940,560,680 is 10254877360.
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 533 x 940 x 560 x 680 = 106650724544000
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
533 : 1, 13, 41, 533
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,533,940,560,680, is 1.
Now, the common factors can be found like this.
559:13x 43
533:13x 41
940:2x 2x 5x 47
560:2x 2x 2x 2x 5x 7
680:2x 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 5x 5x 13 = 10400
Therefore, the value for common factors is 10400.
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 = 106650724544000/(1x10400)
LCM = 106650724544000/10400
LCM = 10254877360
Thus, we can understand that the LCM of 559,533,940,560,680 is 10254877360.
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FAQs on LCM of 559, 533, 940, 560, 680
1. What is the LCM of 559, 533, 940, 560, 680?
Answer: LCM of 559, 533, 940, 560, 680 is 10254877360.
2. How to calculate the LCM of 559, 533, 940, 560, 680?
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, 533, 940, 560, 680.
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}.