Find the LCM of 454, 893, 398, 188 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, 893, 398, 188. So, keep reading to learn more.
Given numbers are 454,893,398,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,893,398,188 is 161357956.
Find LCM of 454,893,398,188 with Prime Factorization
2 | 454, 893, 398, 188 |
47 | 227, 893, 199, 94 |
227, 19, 199, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 227 x 19 x 199 x 2 = 161357956
Therefore, the lowest common multiple of 454,893,398,188 is 161357956.
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 893 x 398 x 188 = 30335295728
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
893 : 1, 19, 47, 893
398 : 1, 2, 199, 398
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,893,398,188, is 1.
Now, the common factors can be found like this.
454:2x 227
893:19x 47
398:2x 199
188:2x 2x 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 2x 47 = 188
Therefore, the value for common factors is 188.
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 = 30335295728/(1x188)
LCM = 30335295728/188
LCM = 161357956
Thus, we can understand that the LCM of 454,893,398,188 is 161357956.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 893, 398, 188?
Answer: LCM of 454, 893, 398, 188 is 161357956.
2. How to calculate the LCM of 454, 893, 398, 188?
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, 893, 398, 188.
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}.