LCM of 363, 756, 693, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 756, 693, 559 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 363, 756, 693, 559. So, keep reading to learn more.
Given numbers are 363,756,693,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,756,693,559 is 51135084.
Find LCM of 363,756,693,559 with Prime Factorization
| 3 | 363, 756, 693, 559 |
| 3 | 121, 252, 231, 559 |
| 7 | 121, 84, 77, 559 |
| 11 | 121, 12, 11, 559 |
| 1, 12, 11, 559 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 11 x 1 x 12 x 11 x 559 = 51135084
Therefore, the lowest common multiple of 363,756,693,559 is 51135084.
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.
363 x 756 x 693 x 559 = 106309839636
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.
363 : 1, 3, 11, 33, 121, 363
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
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,756,693,559, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
756:2x 2x 3x 3x 3x 7
693:3x 3x 7x 11
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 11 = 2079
Therefore, the value for common factors is 2079.
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 = 106309839636/(1x2079)
LCM = 106309839636/2079
LCM = 51135084
Thus, we can understand that the LCM of 363,756,693,559 is 51135084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 756, 693, 559
1. What is the LCM of 363, 756, 693, 559?
Answer: LCM of 363, 756, 693, 559 is 51135084.
2. How to calculate the LCM of 363, 756, 693, 559?
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 363, 756, 693, 559.
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}.