LCM of 562, 498, 820, 164, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 498, 820, 164, 540 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 562, 498, 820, 164, 540. So, keep reading to learn more.
Given numbers are 562,498,820,164,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,498,820,164,540 is 516371220.
Find LCM of 562,498,820,164,540 with Prime Factorization
| 2 | 562, 498, 820, 164, 540 |
| 2 | 281, 249, 410, 82, 270 |
| 3 | 281, 249, 205, 41, 135 |
| 5 | 281, 83, 205, 41, 45 |
| 41 | 281, 83, 41, 41, 9 |
| 281, 83, 1, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 281 x 83 x 1 x 1 x 9 = 516371220
Therefore, the lowest common multiple of 562,498,820,164,540 is 516371220.
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.
562 x 498 x 820 x 164 x 540 = 20324371219200
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.
562 : 1, 2, 281, 562
498 : 1, 2, 3, 6, 83, 166, 249, 498
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
164 : 1, 2, 4, 41, 82, 164
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,498,820,164,540, is 2.
Now, the common factors can be found like this.
562:2x 281
498:2x 3x 83
820:2x 2x 5x 41
164:2x 2x 41
540:2x 2x 3x 3x 3x 5
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 3x 5x 41 = 19680
Therefore, the value for common factors is 19680.
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 = 20324371219200/(2x19680)
LCM = 20324371219200/39360
LCM = 516371220
Thus, we can understand that the LCM of 562,498,820,164,540 is 516371220.
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FAQs on LCM of 562, 498, 820, 164, 540
1. What is the LCM of 562, 498, 820, 164, 540?
Answer: LCM of 562, 498, 820, 164, 540 is 516371220.
2. How to calculate the LCM of 562, 498, 820, 164, 540?
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 562, 498, 820, 164, 540.
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}.