LCM of 465, 345, 413, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 465, 345, 413, 194 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 465, 345, 413, 194. So, keep reading to learn more.
Given numbers are 465,345,413,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,345,413,194 is 856904790.
Find LCM of 465,345,413,194 with Prime Factorization
| 3 | 465, 345, 413, 194 |
| 5 | 155, 115, 413, 194 |
| 31, 23, 413, 194 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 31 x 23 x 413 x 194 = 856904790
Therefore, the lowest common multiple of 465,345,413,194 is 856904790.
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.
465 x 345 x 413 x 194 = 12853571850
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
345 : 1, 3, 5, 15, 23, 69, 115, 345
413 : 1, 7, 59, 413
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,345,413,194, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
345:3x 5x 23
413:7x 59
194:2x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 12853571850/(1x15)
LCM = 12853571850/15
LCM = 856904790
Thus, we can understand that the LCM of 465,345,413,194 is 856904790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 465, 345, 413, 194
1. What is the LCM of 465, 345, 413, 194?
Answer: LCM of 465, 345, 413, 194 is 856904790.
2. How to calculate the LCM of 465, 345, 413, 194?
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 465, 345, 413, 194.
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}.