LCM of 717, 270, 814, 746, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 270, 814, 746, 349 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, 270, 814, 746, 349. So, keep reading to learn more.
Given numbers are 717,270,814,746,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,270,814,746,349 is 3418930976670.
Find LCM of 717,270,814,746,349 with Prime Factorization
| 2 | 717, 270, 814, 746, 349 |
| 3 | 717, 135, 407, 373, 349 |
| 239, 45, 407, 373, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 45 x 407 x 373 x 349 = 3418930976670
Therefore, the lowest common multiple of 717,270,814,746,349 is 3418930976670.
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 270 x 814 x 746 x 349 = 41027171720040
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
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
814 : 1, 2, 11, 22, 37, 74, 407, 814
746 : 1, 2, 373, 746
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,270,814,746,349, is 1.
Now, the common factors can be found like this.
717:3x 239
270:2x 3x 3x 3x 5
814:2x 11x 37
746:2x 373
349:349
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 3 = 12
Therefore, the value for common factors is 12.
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 = 41027171720040/(1x12)
LCM = 41027171720040/12
LCM = 3418930976670
Thus, we can understand that the LCM of 717,270,814,746,349 is 3418930976670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 270, 814, 746, 349
1. What is the LCM of 717, 270, 814, 746, 349?
Answer: LCM of 717, 270, 814, 746, 349 is 3418930976670.
2. How to calculate the LCM of 717, 270, 814, 746, 349?
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, 270, 814, 746, 349.
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}.