Find the LCM of 654, 646, 191, 961 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 654, 646, 191, 961. So, keep reading to learn more.
Given numbers are 654,646,191,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,646,191,961 is 38773680342.
Find LCM of 654,646,191,961 with Prime Factorization
2 | 654, 646, 191, 961 |
327, 323, 191, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 327 x 323 x 191 x 961 = 38773680342
Therefore, the lowest common multiple of 654,646,191,961 is 38773680342.
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.
654 x 646 x 191 x 961 = 77547360684
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
646 : 1, 2, 17, 19, 34, 38, 323, 646
191 : 1, 191
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,646,191,961, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
646:2x 17x 19
191:191
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 77547360684/(1x2)
LCM = 77547360684/2
LCM = 38773680342
Thus, we can understand that the LCM of 654,646,191,961 is 38773680342.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 654, 646, 191, 961?
Answer: LCM of 654, 646, 191, 961 is 38773680342.
2. How to calculate the LCM of 654, 646, 191, 961?
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 654, 646, 191, 961.
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}.