Find the LCM of 454, 898, 492, 985, 869 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, 898, 492, 985, 869. So, keep reading to learn more.
Given numbers are 454,898,492,985,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,898,492,985,869 is 42923320181940.
Find LCM of 454,898,492,985,869 with Prime Factorization
2 | 454, 898, 492, 985, 869 |
227, 449, 246, 985, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 227 x 449 x 246 x 985 x 869 = 42923320181940
Therefore, the lowest common multiple of 454,898,492,985,869 is 42923320181940.
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 898 x 492 x 985 x 869 = 171693280727760
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
898 : 1, 2, 449, 898
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
985 : 1, 5, 197, 985
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,898,492,985,869, is 1.
Now, the common factors can be found like this.
454:2x 227
898:2x 449
492:2x 2x 3x 41
985:5x 197
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 171693280727760/(1x4)
LCM = 171693280727760/4
LCM = 42923320181940
Thus, we can understand that the LCM of 454,898,492,985,869 is 42923320181940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 898, 492, 985, 869?
Answer: LCM of 454, 898, 492, 985, 869 is 42923320181940.
2. How to calculate the LCM of 454, 898, 492, 985, 869?
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, 898, 492, 985, 869.
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}.