Find the LCM of 824, 364, 119, 203 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 824, 364, 119, 203. So, keep reading to learn more.
Given numbers are 824,364,119,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,364,119,203 is 36967112.
Find LCM of 824,364,119,203 with Prime Factorization
2 | 824, 364, 119, 203 |
2 | 412, 182, 119, 203 |
7 | 206, 91, 119, 203 |
206, 13, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 206 x 13 x 17 x 29 = 36967112
Therefore, the lowest common multiple of 824,364,119,203 is 36967112.
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.
824 x 364 x 119 x 203 = 7245553952
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
119 : 1, 7, 17, 119
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,364,119,203, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
364:2x 2x 7x 13
119:7x 17
203:7x 29
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 7245553952/(1x196)
LCM = 7245553952/196
LCM = 36967112
Thus, we can understand that the LCM of 824,364,119,203 is 36967112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 364, 119, 203?
Answer: LCM of 824, 364, 119, 203 is 36967112.
2. How to calculate the LCM of 824, 364, 119, 203?
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 824, 364, 119, 203.
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}.