Find the LCM of 826, 961, 306, 767, 122 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 826, 961, 306, 767, 122. So, keep reading to learn more.
Given numbers are 826,961,306,767,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,961,306,767,122 is 96309261594.
Find LCM of 826,961,306,767,122 with Prime Factorization
2 | 826, 961, 306, 767, 122 |
59 | 413, 961, 153, 767, 61 |
7, 961, 153, 13, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 7 x 961 x 153 x 13 x 61 = 96309261594
Therefore, the lowest common multiple of 826,961,306,767,122 is 96309261594.
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.
826 x 961 x 306 x 767 x 122 = 22728985736184
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
961 : 1, 31, 961
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
767 : 1, 13, 59, 767
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,961,306,767,122, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
961:31x 31
306:2x 3x 3x 17
767:13x 59
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 59 = 236
Therefore, the value for common factors is 236.
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 = 22728985736184/(1x236)
LCM = 22728985736184/236
LCM = 96309261594
Thus, we can understand that the LCM of 826,961,306,767,122 is 96309261594.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 826, 961, 306, 767, 122?
Answer: LCM of 826, 961, 306, 767, 122 is 96309261594.
2. How to calculate the LCM of 826, 961, 306, 767, 122?
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 826, 961, 306, 767, 122.
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}.