Find the LCM of 822, 762, 892, 471, 720 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, 762, 892, 471, 720. So, keep reading to learn more.
Given numbers are 822,762,892,471,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,762,892,471,720 is 438592600080.
Find LCM of 822,762,892,471,720 with Prime Factorization
2 | 822, 762, 892, 471, 720 |
2 | 411, 381, 446, 471, 360 |
3 | 411, 381, 223, 471, 180 |
137, 127, 223, 157, 60 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 127 x 223 x 157 x 60 = 438592600080
Therefore, the lowest common multiple of 822,762,892,471,720 is 438592600080.
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 762 x 892 x 471 x 720 = 189472003234560
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
762 : 1, 2, 3, 6, 127, 254, 381, 762
892 : 1, 2, 4, 223, 446, 892
471 : 1, 3, 157, 471
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,762,892,471,720, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
762:2x 3x 127
892:2x 2x 223
471:3x 157
720:2x 2x 2x 2x 3x 3x 5
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 189472003234560/(1x432)
LCM = 189472003234560/432
LCM = 438592600080
Thus, we can understand that the LCM of 822,762,892,471,720 is 438592600080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 762, 892, 471, 720?
Answer: LCM of 822, 762, 892, 471, 720 is 438592600080.
2. How to calculate the LCM of 822, 762, 892, 471, 720?
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, 762, 892, 471, 720.
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}.