Find the LCM of 632, 796, 998, 365, 668 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 632, 796, 998, 365, 668. So, keep reading to learn more.
Given numbers are 632,796,998,365,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,796,998,365,668 is 3825428031560.
Find LCM of 632,796,998,365,668 with Prime Factorization
2 | 632, 796, 998, 365, 668 |
2 | 316, 398, 499, 365, 334 |
158, 199, 499, 365, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 158 x 199 x 499 x 365 x 167 = 3825428031560
Therefore, the lowest common multiple of 632,796,998,365,668 is 3825428031560.
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.
632 x 796 x 998 x 365 x 668 = 122413697009920
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
796 : 1, 2, 4, 199, 398, 796
998 : 1, 2, 499, 998
365 : 1, 5, 73, 365
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,796,998,365,668, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
796:2x 2x 199
998:2x 499
365:5x 73
668:2x 2x 167
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 2 = 32
Therefore, the value for common factors is 32.
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 = 122413697009920/(1x32)
LCM = 122413697009920/32
LCM = 3825428031560
Thus, we can understand that the LCM of 632,796,998,365,668 is 3825428031560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 796, 998, 365, 668?
Answer: LCM of 632, 796, 998, 365, 668 is 3825428031560.
2. How to calculate the LCM of 632, 796, 998, 365, 668?
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 632, 796, 998, 365, 668.
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}.