Find the LCM of 979, 833, 417, 784, 744 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 979, 833, 417, 784, 744. So, keep reading to learn more.
Given numbers are 979,833,417,784,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,833,417,784,744 is 168672943824.
Find LCM of 979,833,417,784,744 with Prime Factorization
2 | 979, 833, 417, 784, 744 |
2 | 979, 833, 417, 392, 372 |
2 | 979, 833, 417, 196, 186 |
3 | 979, 833, 417, 98, 93 |
7 | 979, 833, 139, 98, 31 |
7 | 979, 119, 139, 14, 31 |
979, 17, 139, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 7 x 979 x 17 x 139 x 2 x 31 = 168672943824
Therefore, the lowest common multiple of 979,833,417,784,744 is 168672943824.
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.
979 x 833 x 417 x 784 x 744 = 198359381937024
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.
979 : 1, 11, 89, 979
833 : 1, 7, 17, 49, 119, 833
417 : 1, 3, 139, 417
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,833,417,784,744, is 1.
Now, the common factors can be found like this.
979:11x 89
833:7x 7x 17
417:3x 139
784:2x 2x 2x 2x 7x 7
744:2x 2x 2x 3x 31
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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 198359381937024/(1x1176)
LCM = 198359381937024/1176
LCM = 168672943824
Thus, we can understand that the LCM of 979,833,417,784,744 is 168672943824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 833, 417, 784, 744?
Answer: LCM of 979, 833, 417, 784, 744 is 168672943824.
2. How to calculate the LCM of 979, 833, 417, 784, 744?
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 979, 833, 417, 784, 744.
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}.