Find the LCM of 326, 281, 281, 721, 940 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 326, 281, 281, 721, 940. So, keep reading to learn more.
Given numbers are 326,281,281,721,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,281,281,721,940 is 31042525220.
Find LCM of 326,281,281,721,940 with Prime Factorization
2 | 326, 281, 281, 721, 940 |
281 | 163, 281, 281, 721, 470 |
163, 1, 1, 721, 470 |
Multiply the prime numbers at the bottom and the left side.
2 x 281 x 163 x 1 x 1 x 721 x 470 = 31042525220
Therefore, the lowest common multiple of 326,281,281,721,940 is 31042525220.
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.
326 x 281 x 281 x 721 x 940 = 17445899173640
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.
326 : 1, 2, 163, 326
281 : 1, 281
281 : 1, 281
721 : 1, 7, 103, 721
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,281,281,721,940, is 1.
Now, the common factors can be found like this.
326:2x 163
281:281
281:281
721:7x 103
940:2x 2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 281 = 562
Therefore, the value for common factors is 562.
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 = 17445899173640/(1x562)
LCM = 17445899173640/562
LCM = 31042525220
Thus, we can understand that the LCM of 326,281,281,721,940 is 31042525220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 326, 281, 281, 721, 940?
Answer: LCM of 326, 281, 281, 721, 940 is 31042525220.
2. How to calculate the LCM of 326, 281, 281, 721, 940?
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 326, 281, 281, 721, 940.
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}.