LCM of 795, 399, 306, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 795, 399, 306, 361 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 795, 399, 306, 361. So, keep reading to learn more.
Given numbers are 795,399,306,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,399,306,361 is 204914430.
Find LCM of 795,399,306,361 with Prime Factorization
| 3 | 795, 399, 306, 361 |
| 19 | 265, 133, 102, 361 |
| 265, 7, 102, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 265 x 7 x 102 x 19 = 204914430
Therefore, the lowest common multiple of 795,399,306,361 is 204914430.
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.
795 x 399 x 306 x 361 = 35040367530
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
399 : 1, 3, 7, 19, 21, 57, 133, 399
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,399,306,361, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
399:3x 7x 19
306:2x 3x 3x 17
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 35040367530/(1x171)
LCM = 35040367530/171
LCM = 204914430
Thus, we can understand that the LCM of 795,399,306,361 is 204914430.
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FAQs on LCM of 795, 399, 306, 361
1. What is the LCM of 795, 399, 306, 361?
Answer: LCM of 795, 399, 306, 361 is 204914430.
2. How to calculate the LCM of 795, 399, 306, 361?
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 795, 399, 306, 361.
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}.