LCM of 561, 756, 546, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 756, 546, 923 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, 756, 546, 923. So, keep reading to learn more.
Given numbers are 561,756,546,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,756,546,923 is 130486356.
Find LCM of 561,756,546,923 with Prime Factorization
| 2 | 561, 756, 546, 923 |
| 3 | 561, 378, 273, 923 |
| 7 | 187, 126, 91, 923 |
| 13 | 187, 18, 13, 923 |
| 187, 18, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 187 x 18 x 1 x 71 = 130486356
Therefore, the lowest common multiple of 561,756,546,923 is 130486356.
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 756 x 546 x 923 = 213736651128
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,756,546,923, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
756:2x 2x 3x 3x 3x 7
546:2x 3x 7x 13
923:13x 71
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 3x 7x 13 = 1638
Therefore, the value for common factors is 1638.
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 = 213736651128/(1x1638)
LCM = 213736651128/1638
LCM = 130486356
Thus, we can understand that the LCM of 561,756,546,923 is 130486356.
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FAQs on LCM of 561, 756, 546, 923
1. What is the LCM of 561, 756, 546, 923?
Answer: LCM of 561, 756, 546, 923 is 130486356.
2. How to calculate the LCM of 561, 756, 546, 923?
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, 756, 546, 923.
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}.