Find the LCM of 707, 828, 961, 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 707, 828, 961, 961. So, keep reading to learn more.
Given numbers are 707,828,961,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,828,961,961 is 562565556.
Find LCM of 707,828,961,961 with Prime Factorization
31 | 707, 828, 961, 961 |
31 | 707, 828, 31, 31 |
707, 828, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
31 x 31 x 707 x 828 x 1 x 1 = 562565556
Therefore, the lowest common multiple of 707,828,961,961 is 562565556.
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.
707 x 828 x 961 x 961 = 540625499316
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.
707 : 1, 7, 101, 707
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
961 : 1, 31, 961
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,828,961,961, is 1.
Now, the common factors can be found like this.
707:7x 101
828:2x 2x 3x 3x 23
961:31x 31
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.
31x 31 = 961
Therefore, the value for common factors is 961.
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 = 540625499316/(1x961)
LCM = 540625499316/961
LCM = 562565556
Thus, we can understand that the LCM of 707,828,961,961 is 562565556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 828, 961, 961?
Answer: LCM of 707, 828, 961, 961 is 562565556.
2. How to calculate the LCM of 707, 828, 961, 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 707, 828, 961, 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}.