LCM of 731, 528, 561, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 528, 561, 566 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 731, 528, 561, 566. So, keep reading to learn more.
Given numbers are 731,528,561,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,528,561,566 is 109228944.
Find LCM of 731,528,561,566 with Prime Factorization
| 2 | 731, 528, 561, 566 |
| 3 | 731, 264, 561, 283 |
| 11 | 731, 88, 187, 283 |
| 17 | 731, 8, 17, 283 |
| 43, 8, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 43 x 8 x 1 x 283 = 109228944
Therefore, the lowest common multiple of 731,528,561,566 is 109228944.
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.
731 x 528 x 561 x 566 = 122554875168
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.
731 : 1, 17, 43, 731
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
561 : 1, 3, 11, 17, 33, 51, 187, 561
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,528,561,566, is 1.
Now, the common factors can be found like this.
731:17x 43
528:2x 2x 2x 2x 3x 11
561:3x 11x 17
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 122554875168/(1x1122)
LCM = 122554875168/1122
LCM = 109228944
Thus, we can understand that the LCM of 731,528,561,566 is 109228944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 528, 561, 566
1. What is the LCM of 731, 528, 561, 566?
Answer: LCM of 731, 528, 561, 566 is 109228944.
2. How to calculate the LCM of 731, 528, 561, 566?
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 731, 528, 561, 566.
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}.