Find the LCM of 454, 427, 868, 372, 427 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, 427, 868, 372, 427. So, keep reading to learn more.
Given numbers are 454,427,868,372,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,427,868,372,427 is 36057588.
Find LCM of 454,427,868,372,427 with Prime Factorization
2 | 454, 427, 868, 372, 427 |
2 | 227, 427, 434, 186, 427 |
7 | 227, 427, 217, 93, 427 |
31 | 227, 61, 31, 93, 61 |
61 | 227, 61, 1, 3, 61 |
227, 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 31 x 61 x 227 x 1 x 1 x 3 x 1 = 36057588
Therefore, the lowest common multiple of 454,427,868,372,427 is 36057588.
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 427 x 868 x 372 x 427 = 26728480371936
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
427 : 1, 7, 61, 427
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,427,868,372,427, is 1.
Now, the common factors can be found like this.
454:2x 227
427:7x 61
868:2x 2x 7x 31
372:2x 2x 3x 31
427:7x 61
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 7x 7x 31x 61 = 741272
Therefore, the value for common factors is 741272.
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 = 26728480371936/(1x741272)
LCM = 26728480371936/741272
LCM = 36057588
Thus, we can understand that the LCM of 454,427,868,372,427 is 36057588.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 427, 868, 372, 427?
Answer: LCM of 454, 427, 868, 372, 427 is 36057588.
2. How to calculate the LCM of 454, 427, 868, 372, 427?
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, 427, 868, 372, 427.
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}.