LCM of 717, 342, 347, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 342, 347, 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 717, 342, 347, 361. So, keep reading to learn more.
Given numbers are 717,342,347,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,342,347,361 is 538898634.
Find LCM of 717,342,347,361 with Prime Factorization
| 3 | 717, 342, 347, 361 |
| 19 | 239, 114, 347, 361 |
| 239, 6, 347, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 239 x 6 x 347 x 19 = 538898634
Therefore, the lowest common multiple of 717,342,347,361 is 538898634.
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.
717 x 342 x 347 x 361 = 30717222138
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.
717 : 1, 3, 239, 717
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
347 : 1, 347
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,342,347,361, is 1.
Now, the common factors can be found like this.
717:3x 239
342:2x 3x 3x 19
347:347
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 19 = 57
Therefore, the value for common factors is 57.
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 = 30717222138/(1x57)
LCM = 30717222138/57
LCM = 538898634
Thus, we can understand that the LCM of 717,342,347,361 is 538898634.
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FAQs on LCM of 717, 342, 347, 361
1. What is the LCM of 717, 342, 347, 361?
Answer: LCM of 717, 342, 347, 361 is 538898634.
2. How to calculate the LCM of 717, 342, 347, 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 717, 342, 347, 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}.