LCM of 561, 979, 772, 913, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 979, 772, 913, 598 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, 979, 772, 913, 598. So, keep reading to learn more.
Given numbers are 561,979,772,913,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,979,772,913,598 is 956575930596.
Find LCM of 561,979,772,913,598 with Prime Factorization
| 2 | 561, 979, 772, 913, 598 |
| 11 | 561, 979, 386, 913, 299 |
| 51, 89, 386, 83, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 51 x 89 x 386 x 83 x 299 = 956575930596
Therefore, the lowest common multiple of 561,979,772,913,598 is 956575930596.
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 979 x 772 x 913 x 598 = 231491375204232
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
979 : 1, 11, 89, 979
772 : 1, 2, 4, 193, 386, 772
913 : 1, 11, 83, 913
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,979,772,913,598, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
979:11x 89
772:2x 2x 193
913:11x 83
598:2x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 231491375204232/(1x242)
LCM = 231491375204232/242
LCM = 956575930596
Thus, we can understand that the LCM of 561,979,772,913,598 is 956575930596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 979, 772, 913, 598
1. What is the LCM of 561, 979, 772, 913, 598?
Answer: LCM of 561, 979, 772, 913, 598 is 956575930596.
2. How to calculate the LCM of 561, 979, 772, 913, 598?
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, 979, 772, 913, 598.
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}.