LCM of 814, 961, 213, 559, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 961, 213, 559, 342 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 814, 961, 213, 559, 342. So, keep reading to learn more.
Given numbers are 814,961,213,559,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,961,213,559,342 is 5309016310026.
Find LCM of 814,961,213,559,342 with Prime Factorization
| 2 | 814, 961, 213, 559, 342 |
| 3 | 407, 961, 213, 559, 171 |
| 407, 961, 71, 559, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 407 x 961 x 71 x 559 x 57 = 5309016310026
Therefore, the lowest common multiple of 814,961,213,559,342 is 5309016310026.
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.
814 x 961 x 213 x 559 x 342 = 31854097860156
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
961 : 1, 31, 961
213 : 1, 3, 71, 213
559 : 1, 13, 43, 559
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,961,213,559,342, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
961:31x 31
213:3x 71
559:13x 43
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 31854097860156/(1x6)
LCM = 31854097860156/6
LCM = 5309016310026
Thus, we can understand that the LCM of 814,961,213,559,342 is 5309016310026.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 814, 961, 213, 559, 342
1. What is the LCM of 814, 961, 213, 559, 342?
Answer: LCM of 814, 961, 213, 559, 342 is 5309016310026.
2. How to calculate the LCM of 814, 961, 213, 559, 342?
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 814, 961, 213, 559, 342.
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}.