Find the LCM of 454, 737, 286, 921 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 454, 737, 286, 921. So, keep reading to learn more.
Given numbers are 454,737,286,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,737,286,921 is 4006141854.
Find LCM of 454,737,286,921 with Prime Factorization
2 | 454, 737, 286, 921 |
11 | 227, 737, 143, 921 |
227, 67, 13, 921 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 227 x 67 x 13 x 921 = 4006141854
Therefore, the lowest common multiple of 454,737,286,921 is 4006141854.
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.
454 x 737 x 286 x 921 = 88135120788
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.
454 : 1, 2, 227, 454
737 : 1, 11, 67, 737
286 : 1, 2, 11, 13, 22, 26, 143, 286
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,737,286,921, is 1.
Now, the common factors can be found like this.
454:2x 227
737:11x 67
286:2x 11x 13
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 88135120788/(1x22)
LCM = 88135120788/22
LCM = 4006141854
Thus, we can understand that the LCM of 454,737,286,921 is 4006141854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 737, 286, 921?
Answer: LCM of 454, 737, 286, 921 is 4006141854.
2. How to calculate the LCM of 454, 737, 286, 921?
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 454, 737, 286, 921.
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}.