Find the LCM of 722, 963, 662, 412, 891 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 722, 963, 662, 412, 891. So, keep reading to learn more.
Given numbers are 722,963,662,412,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,963,662,412,891 is 4693468348404.
Find LCM of 722,963,662,412,891 with Prime Factorization
2 | 722, 963, 662, 412, 891 |
3 | 361, 963, 331, 206, 891 |
3 | 361, 321, 331, 206, 297 |
361, 107, 331, 206, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 361 x 107 x 331 x 206 x 99 = 4693468348404
Therefore, the lowest common multiple of 722,963,662,412,891 is 4693468348404.
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.
722 x 963 x 662 x 412 x 891 = 168964860542544
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.
722 : 1, 2, 19, 38, 361, 722
963 : 1, 3, 9, 107, 321, 963
662 : 1, 2, 331, 662
412 : 1, 2, 4, 103, 206, 412
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,963,662,412,891, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
963:3x 3x 107
662:2x 331
412:2x 2x 103
891:3x 3x 3x 3x 11
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 168964860542544/(1x36)
LCM = 168964860542544/36
LCM = 4693468348404
Thus, we can understand that the LCM of 722,963,662,412,891 is 4693468348404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 963, 662, 412, 891?
Answer: LCM of 722, 963, 662, 412, 891 is 4693468348404.
2. How to calculate the LCM of 722, 963, 662, 412, 891?
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 722, 963, 662, 412, 891.
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}.