Find the LCM of 633, 979, 314, 958, 565 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 633, 979, 314, 958, 565. So, keep reading to learn more.
Given numbers are 633,979,314,958,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,979,314,958,565 is 52662322838730.
Find LCM of 633,979,314,958,565 with Prime Factorization
2 | 633, 979, 314, 958, 565 |
633, 979, 157, 479, 565 |
Multiply the prime numbers at the bottom and the left side.
2 x 633 x 979 x 157 x 479 x 565 = 52662322838730
Therefore, the lowest common multiple of 633,979,314,958,565 is 52662322838730.
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.
633 x 979 x 314 x 958 x 565 = 105324645677460
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.
633 : 1, 3, 211, 633
979 : 1, 11, 89, 979
314 : 1, 2, 157, 314
958 : 1, 2, 479, 958
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,979,314,958,565, is 1.
Now, the common factors can be found like this.
633:3x 211
979:11x 89
314:2x 157
958:2x 479
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 105324645677460/(1x2)
LCM = 105324645677460/2
LCM = 52662322838730
Thus, we can understand that the LCM of 633,979,314,958,565 is 52662322838730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 979, 314, 958, 565?
Answer: LCM of 633, 979, 314, 958, 565 is 52662322838730.
2. How to calculate the LCM of 633, 979, 314, 958, 565?
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 633, 979, 314, 958, 565.
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}.