Find the LCM of 271, 452, 984, 785, 492 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 271, 452, 984, 785, 492. So, keep reading to learn more.
Given numbers are 271,452,984,785,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,452,984,785,492 is 23654430120.
Find LCM of 271,452,984,785,492 with Prime Factorization
2 | 271, 452, 984, 785, 492 |
2 | 271, 226, 492, 785, 246 |
3 | 271, 113, 123, 785, 246 |
41 | 271, 113, 41, 785, 82 |
271, 113, 1, 785, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 271 x 113 x 1 x 785 x 2 = 23654430120
Therefore, the lowest common multiple of 271,452,984,785,492 is 23654430120.
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.
271 x 452 x 984 x 785 x 492 = 46551918476160
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.
271 : 1, 271
452 : 1, 2, 4, 113, 226, 452
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
785 : 1, 5, 157, 785
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,452,984,785,492, is 1.
Now, the common factors can be found like this.
271:271
452:2x 2x 113
984:2x 2x 2x 3x 41
785:5x 157
492:2x 2x 3x 41
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 2x 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 46551918476160/(1x1968)
LCM = 46551918476160/1968
LCM = 23654430120
Thus, we can understand that the LCM of 271,452,984,785,492 is 23654430120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 271, 452, 984, 785, 492?
Answer: LCM of 271, 452, 984, 785, 492 is 23654430120.
2. How to calculate the LCM of 271, 452, 984, 785, 492?
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 271, 452, 984, 785, 492.
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}.