Find the LCM of 128, 781, 142, 269 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 128, 781, 142, 269. So, keep reading to learn more.
Given numbers are 128,781,142,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,781,142,269 is 26891392.
Find LCM of 128,781,142,269 with Prime Factorization
2 | 128, 781, 142, 269 |
71 | 64, 781, 71, 269 |
64, 11, 1, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 64 x 11 x 1 x 269 = 26891392
Therefore, the lowest common multiple of 128,781,142,269 is 26891392.
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.
128 x 781 x 142 x 269 = 3818577664
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
781 : 1, 11, 71, 781
142 : 1, 2, 71, 142
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,781,142,269, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
781:11x 71
142:2x 71
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 71 = 142
Therefore, the value for common factors is 142.
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 = 3818577664/(1x142)
LCM = 3818577664/142
LCM = 26891392
Thus, we can understand that the LCM of 128,781,142,269 is 26891392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 781, 142, 269?
Answer: LCM of 128, 781, 142, 269 is 26891392.
2. How to calculate the LCM of 128, 781, 142, 269?
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 128, 781, 142, 269.
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}.