LCM of 561, 143, 859, 689, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 143, 859, 689, 655 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, 143, 859, 689, 655. So, keep reading to learn more.
Given numbers are 561,143,859,689,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,143,859,689,655 is 217478609205.
Find LCM of 561,143,859,689,655 with Prime Factorization
| 11 | 561, 143, 859, 689, 655 |
| 13 | 51, 13, 859, 689, 655 |
| 51, 1, 859, 53, 655 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 51 x 1 x 859 x 53 x 655 = 217478609205
Therefore, the lowest common multiple of 561,143,859,689,655 is 217478609205.
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 143 x 859 x 689 x 655 = 31099441116315
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
143 : 1, 11, 13, 143
859 : 1, 859
689 : 1, 13, 53, 689
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,143,859,689,655, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
143:11x 13
859:859
689:13x 53
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 31099441116315/(1x143)
LCM = 31099441116315/143
LCM = 217478609205
Thus, we can understand that the LCM of 561,143,859,689,655 is 217478609205.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 143, 859, 689, 655
1. What is the LCM of 561, 143, 859, 689, 655?
Answer: LCM of 561, 143, 859, 689, 655 is 217478609205.
2. How to calculate the LCM of 561, 143, 859, 689, 655?
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, 143, 859, 689, 655.
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}.