Find the LCM of 128, 731, 968, 528, 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, 731, 968, 528, 269. So, keep reading to learn more.
Given numbers are 128,731,968,528,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,731,968,528,269 is 9136634496.
Find LCM of 128,731,968,528,269 with Prime Factorization
2 | 128, 731, 968, 528, 269 |
2 | 64, 731, 484, 264, 269 |
2 | 32, 731, 242, 132, 269 |
2 | 16, 731, 121, 66, 269 |
11 | 8, 731, 121, 33, 269 |
8, 731, 11, 3, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 8 x 731 x 11 x 3 x 269 = 9136634496
Therefore, the lowest common multiple of 128,731,968,528,269 is 9136634496.
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 731 x 968 x 528 x 269 = 12864381370368
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
731 : 1, 17, 43, 731
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,731,968,528,269, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
731:17x 43
968:2x 2x 2x 11x 11
528:2x 2x 2x 2x 3x 11
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 2x 2x 2x 2x 2x 2x 11 = 1408
Therefore, the value for common factors is 1408.
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 = 12864381370368/(1x1408)
LCM = 12864381370368/1408
LCM = 9136634496
Thus, we can understand that the LCM of 128,731,968,528,269 is 9136634496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 731, 968, 528, 269?
Answer: LCM of 128, 731, 968, 528, 269 is 9136634496.
2. How to calculate the LCM of 128, 731, 968, 528, 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, 731, 968, 528, 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}.