Find the LCM of 963, 638, 979, 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 963, 638, 979, 961. So, keep reading to learn more.
Given numbers are 963,638,979,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,638,979,961 is 52548504426.
Find LCM of 963,638,979,961 with Prime Factorization
11 | 963, 638, 979, 961 |
963, 58, 89, 961 |
Multiply the prime numbers at the bottom and the left side.
11 x 963 x 58 x 89 x 961 = 52548504426
Therefore, the lowest common multiple of 963,638,979,961 is 52548504426.
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.
963 x 638 x 979 x 961 = 578033548686
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.
963 : 1, 3, 9, 107, 321, 963
638 : 1, 2, 11, 22, 29, 58, 319, 638
979 : 1, 11, 89, 979
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,638,979,961, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
638:2x 11x 29
979:11x 89
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.
11 = 11
Therefore, the value for common factors is 11.
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 = 578033548686/(1x11)
LCM = 578033548686/11
LCM = 52548504426
Thus, we can understand that the LCM of 963,638,979,961 is 52548504426.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 638, 979, 961?
Answer: LCM of 963, 638, 979, 961 is 52548504426.
2. How to calculate the LCM of 963, 638, 979, 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 963, 638, 979, 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}.