LCM of 892, 938, 268, 130, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 938, 268, 130, 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 892, 938, 268, 130, 796. So, keep reading to learn more.
Given numbers are 892,938,268,130,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,938,268,130,796 is 5411331380.
Find LCM of 892,938,268,130,796 with Prime Factorization
| 2 | 892, 938, 268, 130, 796 |
| 2 | 446, 469, 134, 65, 398 |
| 67 | 223, 469, 67, 65, 199 |
| 223, 7, 1, 65, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 223 x 7 x 1 x 65 x 199 = 5411331380
Therefore, the lowest common multiple of 892,938,268,130,796 is 5411331380.
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.
892 x 938 x 268 x 130 x 796 = 23203788957440
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.
892 : 1, 2, 4, 223, 446, 892
938 : 1, 2, 7, 14, 67, 134, 469, 938
268 : 1, 2, 4, 67, 134, 268
130 : 1, 2, 5, 10, 13, 26, 65, 130
796 : 1, 2, 4, 199, 398, 796
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,938,268,130,796, is 2.
Now, the common factors can be found like this.
892:2x 2x 223
938:2x 7x 67
268:2x 2x 67
130:2x 5x 13
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 2x 2x 67 = 2144
Therefore, the value for common factors is 2144.
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 = 23203788957440/(2x2144)
LCM = 23203788957440/4288
LCM = 5411331380
Thus, we can understand that the LCM of 892,938,268,130,796 is 5411331380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 892, 938, 268, 130, 796
1. What is the LCM of 892, 938, 268, 130, 796?
Answer: LCM of 892, 938, 268, 130, 796 is 5411331380.
2. How to calculate the LCM of 892, 938, 268, 130, 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 892, 938, 268, 130, 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}.