LCM of 561, 297, 351, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 297, 351, 756 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, 297, 351, 756. So, keep reading to learn more.
Given numbers are 561,297,351,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,297,351,756 is 1837836.
Find LCM of 561,297,351,756 with Prime Factorization
| 3 | 561, 297, 351, 756 |
| 3 | 187, 99, 117, 252 |
| 3 | 187, 33, 39, 84 |
| 11 | 187, 11, 13, 28 |
| 17, 1, 13, 28 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 17 x 1 x 13 x 28 = 1837836
Therefore, the lowest common multiple of 561,297,351,756 is 1837836.
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 297 x 351 x 756 = 44212820652
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
297 : 1, 3, 9, 11, 27, 33, 99, 297
351 : 1, 3, 9, 13, 27, 39, 117, 351
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,297,351,756, is 3.
Now, the common factors can be found like this.
561:3x 11x 17
297:3x 3x 3x 11
351:3x 3x 3x 13
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 11 = 8019
Therefore, the value for common factors is 8019.
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 = 44212820652/(3x8019)
LCM = 44212820652/24057
LCM = 1837836
Thus, we can understand that the LCM of 561,297,351,756 is 1837836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 297, 351, 756
1. What is the LCM of 561, 297, 351, 756?
Answer: LCM of 561, 297, 351, 756 is 1837836.
2. How to calculate the LCM of 561, 297, 351, 756?
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, 297, 351, 756.
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}.