LCM of 561, 923, 528, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 923, 528, 845 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 561, 923, 528, 845. So, keep reading to learn more.
Given numbers are 561,923,528,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,923,528,845 is 538515120.
Find LCM of 561,923,528,845 with Prime Factorization
| 3 | 561, 923, 528, 845 |
| 11 | 187, 923, 176, 845 |
| 13 | 17, 923, 16, 845 |
| 17, 71, 16, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 17 x 71 x 16 x 65 = 538515120
Therefore, the lowest common multiple of 561,923,528,845 is 538515120.
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.
561 x 923 x 528 x 845 = 231022986480
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
923 : 1, 13, 71, 923
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,923,528,845, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
923:13x 71
528:2x 2x 2x 2x 3x 11
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13 = 429
Therefore, the value for common factors is 429.
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 = 231022986480/(1x429)
LCM = 231022986480/429
LCM = 538515120
Thus, we can understand that the LCM of 561,923,528,845 is 538515120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 923, 528, 845
1. What is the LCM of 561, 923, 528, 845?
Answer: LCM of 561, 923, 528, 845 is 538515120.
2. How to calculate the LCM of 561, 923, 528, 845?
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 561, 923, 528, 845.
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}.