LCM of 566, 940, 911, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 566, 940, 911, 564 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 566, 940, 911, 564. So, keep reading to learn more.
Given numbers are 566,940,911,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,940,911,564 is 727032660.
Find LCM of 566,940,911,564 with Prime Factorization
| 2 | 566, 940, 911, 564 |
| 2 | 283, 470, 911, 282 |
| 47 | 283, 235, 911, 141 |
| 283, 5, 911, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 283 x 5 x 911 x 3 = 727032660
Therefore, the lowest common multiple of 566,940,911,564 is 727032660.
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.
566 x 940 x 911 x 564 = 273364280160
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.
566 : 1, 2, 283, 566
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
911 : 1, 911
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,940,911,564, is 1.
Now, the common factors can be found like this.
566:2x 283
940:2x 2x 5x 47
911:911
564:2x 2x 3x 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 47 = 376
Therefore, the value for common factors is 376.
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 = 273364280160/(1x376)
LCM = 273364280160/376
LCM = 727032660
Thus, we can understand that the LCM of 566,940,911,564 is 727032660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 566, 940, 911, 564
1. What is the LCM of 566, 940, 911, 564?
Answer: LCM of 566, 940, 911, 564 is 727032660.
2. How to calculate the LCM of 566, 940, 911, 564?
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 566, 940, 911, 564.
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}.