Find the LCM of 453, 902, 604, 231, 932 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 453, 902, 604, 231, 932. So, keep reading to learn more.
Given numbers are 453,902,604,231,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,902,604,231,932 is 1332872772.
Find LCM of 453,902,604,231,932 with Prime Factorization
2 | 453, 902, 604, 231, 932 |
2 | 453, 451, 302, 231, 466 |
3 | 453, 451, 151, 231, 233 |
11 | 151, 451, 151, 77, 233 |
151 | 151, 41, 151, 7, 233 |
1, 41, 1, 7, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 151 x 1 x 41 x 1 x 7 x 233 = 1332872772
Therefore, the lowest common multiple of 453,902,604,231,932 is 1332872772.
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.
453 x 902 x 604 x 231 x 932 = 53133640183008
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.
453 : 1, 3, 151, 453
902 : 1, 2, 11, 22, 41, 82, 451, 902
604 : 1, 2, 4, 151, 302, 604
231 : 1, 3, 7, 11, 21, 33, 77, 231
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,902,604,231,932, is 1.
Now, the common factors can be found like this.
453:3x 151
902:2x 11x 41
604:2x 2x 151
231:3x 7x 11
932:2x 2x 233
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 11x 151 = 39864
Therefore, the value for common factors is 39864.
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 = 53133640183008/(1x39864)
LCM = 53133640183008/39864
LCM = 1332872772
Thus, we can understand that the LCM of 453,902,604,231,932 is 1332872772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 453, 902, 604, 231, 932?
Answer: LCM of 453, 902, 604, 231, 932 is 1332872772.
2. How to calculate the LCM of 453, 902, 604, 231, 932?
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 453, 902, 604, 231, 932.
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}.