LCM of 561, 819, 703, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 819, 703, 182 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, 819, 703, 182. So, keep reading to learn more.
Given numbers are 561,819,703,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,819,703,182 is 215333118.
Find LCM of 561,819,703,182 with Prime Factorization
| 3 | 561, 819, 703, 182 |
| 7 | 187, 273, 703, 182 |
| 13 | 187, 39, 703, 26 |
| 187, 3, 703, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 187 x 3 x 703 x 2 = 215333118
Therefore, the lowest common multiple of 561,819,703,182 is 215333118.
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 819 x 703 x 182 = 58785941214
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
703 : 1, 19, 37, 703
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,819,703,182, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
819:3x 3x 7x 13
703:19x 37
182:2x 7x 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 7x 13 = 273
Therefore, the value for common factors is 273.
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 = 58785941214/(1x273)
LCM = 58785941214/273
LCM = 215333118
Thus, we can understand that the LCM of 561,819,703,182 is 215333118.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 819, 703, 182
1. What is the LCM of 561, 819, 703, 182?
Answer: LCM of 561, 819, 703, 182 is 215333118.
2. How to calculate the LCM of 561, 819, 703, 182?
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, 819, 703, 182.
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}.