Find the LCM of 112, 969, 807, 864, 783 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 112, 969, 807, 864, 783. So, keep reading to learn more.
Given numbers are 112,969,807,864,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,969,807,864,783 is 15239284704.
Find LCM of 112,969,807,864,783 with Prime Factorization
2 | 112, 969, 807, 864, 783 |
2 | 56, 969, 807, 432, 783 |
2 | 28, 969, 807, 216, 783 |
2 | 14, 969, 807, 108, 783 |
3 | 7, 969, 807, 54, 783 |
3 | 7, 323, 269, 18, 261 |
3 | 7, 323, 269, 6, 87 |
7, 323, 269, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 323 x 269 x 2 x 29 = 15239284704
Therefore, the lowest common multiple of 112,969,807,864,783 is 15239284704.
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.
112 x 969 x 807 x 864 x 783 = 59250338929152
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
969 : 1, 3, 17, 19, 51, 57, 323, 969
807 : 1, 3, 269, 807
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,969,807,864,783, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
969:3x 17x 19
807:3x 269
864:2x 2x 2x 2x 2x 3x 3x 3
783:3x 3x 3x 29
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 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 59250338929152/(1x3888)
LCM = 59250338929152/3888
LCM = 15239284704
Thus, we can understand that the LCM of 112,969,807,864,783 is 15239284704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 112, 969, 807, 864, 783?
Answer: LCM of 112, 969, 807, 864, 783 is 15239284704.
2. How to calculate the LCM of 112, 969, 807, 864, 783?
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 112, 969, 807, 864, 783.
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}.