Find the LCM of 721, 322, 273, 822 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 721, 322, 273, 822. So, keep reading to learn more.
Given numbers are 721,322,273,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,322,273,822 is 177205938.
Find LCM of 721,322,273,822 with Prime Factorization
2 | 721, 322, 273, 822 |
3 | 721, 161, 273, 411 |
7 | 721, 161, 91, 137 |
103, 23, 13, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 103 x 23 x 13 x 137 = 177205938
Therefore, the lowest common multiple of 721,322,273,822 is 177205938.
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.
721 x 322 x 273 x 822 = 52098545772
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.
721 : 1, 7, 103, 721
322 : 1, 2, 7, 14, 23, 46, 161, 322
273 : 1, 3, 7, 13, 21, 39, 91, 273
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,322,273,822, is 1.
Now, the common factors can be found like this.
721:7x 103
322:2x 7x 23
273:3x 7x 13
822:2x 3x 137
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 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 52098545772/(1x294)
LCM = 52098545772/294
LCM = 177205938
Thus, we can understand that the LCM of 721,322,273,822 is 177205938.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 322, 273, 822?
Answer: LCM of 721, 322, 273, 822 is 177205938.
2. How to calculate the LCM of 721, 322, 273, 822?
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 721, 322, 273, 822.
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}.