LCM of 717, 903, 378, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 903, 378, 319 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, 903, 378, 319. So, keep reading to learn more.
Given numbers are 717,903,378,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,903,378,319 is 1239221214.
Find LCM of 717,903,378,319 with Prime Factorization
| 3 | 717, 903, 378, 319 |
| 7 | 239, 301, 126, 319 |
| 239, 43, 18, 319 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 239 x 43 x 18 x 319 = 1239221214
Therefore, the lowest common multiple of 717,903,378,319 is 1239221214.
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 903 x 378 x 319 = 78070936482
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
903 : 1, 3, 7, 21, 43, 129, 301, 903
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,903,378,319, is 1.
Now, the common factors can be found like this.
717:3x 239
903:3x 7x 43
378:2x 3x 3x 3x 7
319:11x 29
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 7 = 63
Therefore, the value for common factors is 63.
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 = 78070936482/(1x63)
LCM = 78070936482/63
LCM = 1239221214
Thus, we can understand that the LCM of 717,903,378,319 is 1239221214.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 903, 378, 319
1. What is the LCM of 717, 903, 378, 319?
Answer: LCM of 717, 903, 378, 319 is 1239221214.
2. How to calculate the LCM of 717, 903, 378, 319?
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, 903, 378, 319.
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}.