Find the LCM of 462, 229, 889, 316, 796 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 462, 229, 889, 316, 796. So, keep reading to learn more.
Given numbers are 462,229,889,316,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,229,889,316,796 is 422465590932.
Find LCM of 462,229,889,316,796 with Prime Factorization
2 | 462, 229, 889, 316, 796 |
2 | 231, 229, 889, 158, 398 |
7 | 231, 229, 889, 79, 199 |
33, 229, 127, 79, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 33 x 229 x 127 x 79 x 199 = 422465590932
Therefore, the lowest common multiple of 462,229,889,316,796 is 422465590932.
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.
462 x 229 x 889 x 316 x 796 = 23658073092192
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
229 : 1, 229
889 : 1, 7, 127, 889
316 : 1, 2, 4, 79, 158, 316
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,229,889,316,796, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
229:229
889:7x 127
316:2x 2x 79
796:2x 2x 199
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 7 = 56
Therefore, the value for common factors is 56.
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 = 23658073092192/(1x56)
LCM = 23658073092192/56
LCM = 422465590932
Thus, we can understand that the LCM of 462,229,889,316,796 is 422465590932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 229, 889, 316, 796?
Answer: LCM of 462, 229, 889, 316, 796 is 422465590932.
2. How to calculate the LCM of 462, 229, 889, 316, 796?
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 462, 229, 889, 316, 796.
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}.