Find the LCM of 969, 856, 716, 411, 148 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 969, 856, 716, 411, 148. So, keep reading to learn more.
Given numbers are 969,856,716,411,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,856,716,411,148 is 752614989864.
Find LCM of 969,856,716,411,148 with Prime Factorization
2 | 969, 856, 716, 411, 148 |
2 | 969, 428, 358, 411, 74 |
3 | 969, 214, 179, 411, 37 |
323, 214, 179, 137, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 323 x 214 x 179 x 137 x 37 = 752614989864
Therefore, the lowest common multiple of 969,856,716,411,148 is 752614989864.
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.
969 x 856 x 716 x 411 x 148 = 36125519513472
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
856 : 1, 2, 4, 8, 107, 214, 428, 856
716 : 1, 2, 4, 179, 358, 716
411 : 1, 3, 137, 411
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,856,716,411,148, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
856:2x 2x 2x 107
716:2x 2x 179
411:3x 137
148:2x 2x 37
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 3 = 48
Therefore, the value for common factors is 48.
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 = 36125519513472/(1x48)
LCM = 36125519513472/48
LCM = 752614989864
Thus, we can understand that the LCM of 969,856,716,411,148 is 752614989864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 856, 716, 411, 148?
Answer: LCM of 969, 856, 716, 411, 148 is 752614989864.
2. How to calculate the LCM of 969, 856, 716, 411, 148?
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 969, 856, 716, 411, 148.
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}.