LCM of 561, 419, 946, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 419, 946, 688 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, 419, 946, 688. So, keep reading to learn more.
Given numbers are 561,419,946,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,419,946,688 is 161720592.
Find LCM of 561,419,946,688 with Prime Factorization
| 2 | 561, 419, 946, 688 |
| 11 | 561, 419, 473, 344 |
| 43 | 51, 419, 43, 344 |
| 51, 419, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 51 x 419 x 1 x 8 = 161720592
Therefore, the lowest common multiple of 561,419,946,688 is 161720592.
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 419 x 946 x 688 = 152987680032
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
419 : 1, 419
946 : 1, 2, 11, 22, 43, 86, 473, 946
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,419,946,688, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
419:419
946:2x 11x 43
688:2x 2x 2x 2x 43
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 43 = 946
Therefore, the value for common factors is 946.
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 = 152987680032/(1x946)
LCM = 152987680032/946
LCM = 161720592
Thus, we can understand that the LCM of 561,419,946,688 is 161720592.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 561, 419, 946, 688
1. What is the LCM of 561, 419, 946, 688?
Answer: LCM of 561, 419, 946, 688 is 161720592.
2. How to calculate the LCM of 561, 419, 946, 688?
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, 419, 946, 688.
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}.