Find the LCM of 822, 208, 962, 516, 722 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 822, 208, 962, 516, 722. So, keep reading to learn more.
Given numbers are 822,208,962,516,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,208,962,516,722 is 49100118288.
Find LCM of 822,208,962,516,722 with Prime Factorization
2 | 822, 208, 962, 516, 722 |
2 | 411, 104, 481, 258, 361 |
3 | 411, 52, 481, 129, 361 |
13 | 137, 52, 481, 43, 361 |
137, 4, 37, 43, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 137 x 4 x 37 x 43 x 361 = 49100118288
Therefore, the lowest common multiple of 822,208,962,516,722 is 49100118288.
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.
822 x 208 x 962 x 516 x 722 = 61276947623424
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
962 : 1, 2, 13, 26, 37, 74, 481, 962
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
722 : 1, 2, 19, 38, 361, 722
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,208,962,516,722, is 2.
Now, the common factors can be found like this.
822:2x 3x 137
208:2x 2x 2x 2x 13
962:2x 13x 37
516:2x 2x 3x 43
722:2x 19x 19
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 2x 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 61276947623424/(2x624)
LCM = 61276947623424/1248
LCM = 49100118288
Thus, we can understand that the LCM of 822,208,962,516,722 is 49100118288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 208, 962, 516, 722?
Answer: LCM of 822, 208, 962, 516, 722 is 49100118288.
2. How to calculate the LCM of 822, 208, 962, 516, 722?
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 822, 208, 962, 516, 722.
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}.