LCM of 561, 476, 819, 718, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 476, 819, 718, 909 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, 476, 819, 718, 909. So, keep reading to learn more.
Given numbers are 561,476,819,718,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,476,819,718,909 is 22212698508.
Find LCM of 561,476,819,718,909 with Prime Factorization
| 2 | 561, 476, 819, 718, 909 |
| 3 | 561, 238, 819, 359, 909 |
| 3 | 187, 238, 273, 359, 303 |
| 7 | 187, 238, 91, 359, 101 |
| 17 | 187, 34, 13, 359, 101 |
| 11, 2, 13, 359, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 17 x 11 x 2 x 13 x 359 x 101 = 22212698508
Therefore, the lowest common multiple of 561,476,819,718,909 is 22212698508.
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 476 x 819 x 718 x 909 = 142738800612408
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
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
718 : 1, 2, 359, 718
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,476,819,718,909, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
476:2x 2x 7x 17
819:3x 3x 7x 13
718:2x 359
909:3x 3x 101
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 3x 7x 17 = 6426
Therefore, the value for common factors is 6426.
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 = 142738800612408/(1x6426)
LCM = 142738800612408/6426
LCM = 22212698508
Thus, we can understand that the LCM of 561,476,819,718,909 is 22212698508.
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FAQs on LCM of 561, 476, 819, 718, 909
1. What is the LCM of 561, 476, 819, 718, 909?
Answer: LCM of 561, 476, 819, 718, 909 is 22212698508.
2. How to calculate the LCM of 561, 476, 819, 718, 909?
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, 476, 819, 718, 909.
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}.