Find the LCM of 272, 434, 831, 831, 101 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 272, 434, 831, 831, 101. So, keep reading to learn more.
Given numbers are 272,434,831,831,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,434,831,831,101 is 4953943344.
Find LCM of 272,434,831,831,101 with Prime Factorization
2 | 272, 434, 831, 831, 101 |
3 | 136, 217, 831, 831, 101 |
277 | 136, 217, 277, 277, 101 |
136, 217, 1, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 277 x 136 x 217 x 1 x 1 x 101 = 4953943344
Therefore, the lowest common multiple of 272,434,831,831,101 is 4953943344.
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.
272 x 434 x 831 x 831 x 101 = 8233453837728
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
434 : 1, 2, 7, 14, 31, 62, 217, 434
831 : 1, 3, 277, 831
831 : 1, 3, 277, 831
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,434,831,831,101, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
434:2x 7x 31
831:3x 277
831:3x 277
101:101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 277 = 1662
Therefore, the value for common factors is 1662.
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 = 8233453837728/(1x1662)
LCM = 8233453837728/1662
LCM = 4953943344
Thus, we can understand that the LCM of 272,434,831,831,101 is 4953943344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 272, 434, 831, 831, 101?
Answer: LCM of 272, 434, 831, 831, 101 is 4953943344.
2. How to calculate the LCM of 272, 434, 831, 831, 101?
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 272, 434, 831, 831, 101.
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}.