LCM of 197, 346, 858, 435, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 346, 858, 435, 394 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 197, 346, 858, 435, 394. So, keep reading to learn more.
Given numbers are 197,346,858,435,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,346,858,435,394 is 4240017210.
Find LCM of 197,346,858,435,394 with Prime Factorization
| 2 | 197, 346, 858, 435, 394 |
| 3 | 197, 173, 429, 435, 197 |
| 197 | 197, 173, 143, 145, 197 |
| 1, 173, 143, 145, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 1 x 173 x 143 x 145 x 1 = 4240017210
Therefore, the lowest common multiple of 197,346,858,435,394 is 4240017210.
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.
197 x 346 x 858 x 435 x 394 = 10023400684440
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.
197 : 1, 197
346 : 1, 2, 173, 346
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
435 : 1, 3, 5, 15, 29, 87, 145, 435
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,346,858,435,394, is 1.
Now, the common factors can be found like this.
197:197
346:2x 173
858:2x 3x 11x 13
435:3x 5x 29
394:2x 197
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 3x 197 = 2364
Therefore, the value for common factors is 2364.
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 = 10023400684440/(1x2364)
LCM = 10023400684440/2364
LCM = 4240017210
Thus, we can understand that the LCM of 197,346,858,435,394 is 4240017210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 197, 346, 858, 435, 394
1. What is the LCM of 197, 346, 858, 435, 394?
Answer: LCM of 197, 346, 858, 435, 394 is 4240017210.
2. How to calculate the LCM of 197, 346, 858, 435, 394?
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 197, 346, 858, 435, 394.
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}.