LCM of 477, 561, 689, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 561, 689, 913 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 477, 561, 689, 913. So, keep reading to learn more.
Given numbers are 477,561,689,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,561,689,913 is 96245721.
Find LCM of 477,561,689,913 with Prime Factorization
| 3 | 477, 561, 689, 913 |
| 11 | 159, 187, 689, 913 |
| 53 | 159, 17, 689, 83 |
| 3, 17, 13, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 53 x 3 x 17 x 13 x 83 = 96245721
Therefore, the lowest common multiple of 477,561,689,913 is 96245721.
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.
477 x 561 x 689 x 913 = 168333766029
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.
477 : 1, 3, 9, 53, 159, 477
561 : 1, 3, 11, 17, 33, 51, 187, 561
689 : 1, 13, 53, 689
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,561,689,913, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
561:3x 11x 17
689:13x 53
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 53 = 1749
Therefore, the value for common factors is 1749.
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 = 168333766029/(1x1749)
LCM = 168333766029/1749
LCM = 96245721
Thus, we can understand that the LCM of 477,561,689,913 is 96245721.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 477, 561, 689, 913
1. What is the LCM of 477, 561, 689, 913?
Answer: LCM of 477, 561, 689, 913 is 96245721.
2. How to calculate the LCM of 477, 561, 689, 913?
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 477, 561, 689, 913.
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}.