Find the LCM of 828, 843, 221, 112, 137 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 828, 843, 221, 112, 137. So, keep reading to learn more.
Given numbers are 828,843,221,112,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,843,221,112,137 is 197245693008.
Find LCM of 828,843,221,112,137 with Prime Factorization
2 | 828, 843, 221, 112, 137 |
2 | 414, 843, 221, 56, 137 |
3 | 207, 843, 221, 28, 137 |
69, 281, 221, 28, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 69 x 281 x 221 x 28 x 137 = 197245693008
Therefore, the lowest common multiple of 828,843,221,112,137 is 197245693008.
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.
828 x 843 x 221 x 112 x 137 = 2366948316096
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
843 : 1, 3, 281, 843
221 : 1, 13, 17, 221
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,843,221,112,137, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
843:3x 281
221:13x 17
112:2x 2x 2x 2x 7
137:137
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 3 = 12
Therefore, the value for common factors is 12.
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 = 2366948316096/(1x12)
LCM = 2366948316096/12
LCM = 197245693008
Thus, we can understand that the LCM of 828,843,221,112,137 is 197245693008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 843, 221, 112, 137?
Answer: LCM of 828, 843, 221, 112, 137 is 197245693008.
2. How to calculate the LCM of 828, 843, 221, 112, 137?
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 828, 843, 221, 112, 137.
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}.