LCM of 489, 820, 560, 596, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 820, 560, 596, 940 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 489, 820, 560, 596, 940. So, keep reading to learn more.
Given numbers are 489,820,560,596,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,820,560,596,940 is 78625762320.
Find LCM of 489,820,560,596,940 with Prime Factorization
| 2 | 489, 820, 560, 596, 940 |
| 2 | 489, 410, 280, 298, 470 |
| 5 | 489, 205, 140, 149, 235 |
| 489, 41, 28, 149, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 489 x 41 x 28 x 149 x 47 = 78625762320
Therefore, the lowest common multiple of 489,820,560,596,940 is 78625762320.
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.
489 x 820 x 560 x 596 x 940 = 125801219712000
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.
489 : 1, 3, 163, 489
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
596 : 1, 2, 4, 149, 298, 596
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,820,560,596,940, is 1.
Now, the common factors can be found like this.
489:3x 163
820:2x 2x 5x 41
560:2x 2x 2x 2x 5x 7
596:2x 2x 149
940:2x 2x 5x 47
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 5 = 1600
Therefore, the value for common factors is 1600.
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 = 125801219712000/(1x1600)
LCM = 125801219712000/1600
LCM = 78625762320
Thus, we can understand that the LCM of 489,820,560,596,940 is 78625762320.
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FAQs on LCM of 489, 820, 560, 596, 940
1. What is the LCM of 489, 820, 560, 596, 940?
Answer: LCM of 489, 820, 560, 596, 940 is 78625762320.
2. How to calculate the LCM of 489, 820, 560, 596, 940?
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 489, 820, 560, 596, 940.
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}.