LCM of 583, 667, 713, 414, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 667, 713, 414, 237 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 583, 667, 713, 414, 237. So, keep reading to learn more.
Given numbers are 583,667,713,414,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,667,713,414,237 is 17141770602.
Find LCM of 583,667,713,414,237 with Prime Factorization
| 3 | 583, 667, 713, 414, 237 |
| 23 | 583, 667, 713, 138, 79 |
| 583, 29, 31, 6, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 583 x 29 x 31 x 6 x 79 = 17141770602
Therefore, the lowest common multiple of 583,667,713,414,237 is 17141770602.
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.
583 x 667 x 713 x 414 x 237 = 27203989945374
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.
583 : 1, 11, 53, 583
667 : 1, 23, 29, 667
713 : 1, 23, 31, 713
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,667,713,414,237, is 1.
Now, the common factors can be found like this.
583:11x 53
667:23x 29
713:23x 31
414:2x 3x 3x 23
237:3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 23 = 1587
Therefore, the value for common factors is 1587.
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 = 27203989945374/(1x1587)
LCM = 27203989945374/1587
LCM = 17141770602
Thus, we can understand that the LCM of 583,667,713,414,237 is 17141770602.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 583, 667, 713, 414, 237
1. What is the LCM of 583, 667, 713, 414, 237?
Answer: LCM of 583, 667, 713, 414, 237 is 17141770602.
2. How to calculate the LCM of 583, 667, 713, 414, 237?
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 583, 667, 713, 414, 237.
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}.