Find the LCM of 822, 264, 611, 959, 803 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, 264, 611, 959, 803. So, keep reading to learn more.
Given numbers are 822,264,611,959,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,264,611,959,803 is 11292409128.
Find LCM of 822,264,611,959,803 with Prime Factorization
2 | 822, 264, 611, 959, 803 |
3 | 411, 132, 611, 959, 803 |
11 | 137, 44, 611, 959, 803 |
137 | 137, 4, 611, 959, 73 |
1, 4, 611, 7, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 137 x 1 x 4 x 611 x 7 x 73 = 11292409128
Therefore, the lowest common multiple of 822,264,611,959,803 is 11292409128.
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 264 x 611 x 959 x 803 = 102105963335376
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
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
611 : 1, 13, 47, 611
959 : 1, 7, 137, 959
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,264,611,959,803, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
264:2x 2x 2x 3x 11
611:13x 47
959:7x 137
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 137 = 9042
Therefore, the value for common factors is 9042.
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 = 102105963335376/(1x9042)
LCM = 102105963335376/9042
LCM = 11292409128
Thus, we can understand that the LCM of 822,264,611,959,803 is 11292409128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 264, 611, 959, 803?
Answer: LCM of 822, 264, 611, 959, 803 is 11292409128.
2. How to calculate the LCM of 822, 264, 611, 959, 803?
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, 264, 611, 959, 803.
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}.