Find the LCM of 721, 302, 906, 398, 330 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, 302, 906, 398, 330. So, keep reading to learn more.
Given numbers are 721,302,906,398,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,302,906,398,330 is 7149558570.
Find LCM of 721,302,906,398,330 with Prime Factorization
2 | 721, 302, 906, 398, 330 |
3 | 721, 151, 453, 199, 165 |
151 | 721, 151, 151, 199, 55 |
721, 1, 1, 199, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 721 x 1 x 1 x 199 x 55 = 7149558570
Therefore, the lowest common multiple of 721,302,906,398,330 is 7149558570.
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 302 x 906 x 398 x 330 = 25910000257680
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
302 : 1, 2, 151, 302
906 : 1, 2, 3, 6, 151, 302, 453, 906
398 : 1, 2, 199, 398
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,302,906,398,330, is 1.
Now, the common factors can be found like this.
721:7x 103
302:2x 151
906:2x 3x 151
398:2x 199
330:2x 3x 5x 11
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 3x 151 = 3624
Therefore, the value for common factors is 3624.
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 = 25910000257680/(1x3624)
LCM = 25910000257680/3624
LCM = 7149558570
Thus, we can understand that the LCM of 721,302,906,398,330 is 7149558570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 302, 906, 398, 330?
Answer: LCM of 721, 302, 906, 398, 330 is 7149558570.
2. How to calculate the LCM of 721, 302, 906, 398, 330?
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, 302, 906, 398, 330.
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}.