LCM of 614, 689, 988, 385, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 689, 988, 385, 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 614, 689, 988, 385, 319. So, keep reading to learn more.
Given numbers are 614,689,988,385,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,689,988,385,319 is 179485726420.
Find LCM of 614,689,988,385,319 with Prime Factorization
| 2 | 614, 689, 988, 385, 319 |
| 11 | 307, 689, 494, 385, 319 |
| 13 | 307, 689, 494, 35, 29 |
| 307, 53, 38, 35, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 307 x 53 x 38 x 35 x 29 = 179485726420
Therefore, the lowest common multiple of 614,689,988,385,319 is 179485726420.
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.
614 x 689 x 988 x 385 x 319 = 51332917756120
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.
614 : 1, 2, 307, 614
689 : 1, 13, 53, 689
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
385 : 1, 5, 7, 11, 35, 55, 77, 385
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,689,988,385,319, is 1.
Now, the common factors can be found like this.
614:2x 307
689:13x 53
988:2x 2x 13x 19
385:5x 7x 11
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.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 51332917756120/(1x286)
LCM = 51332917756120/286
LCM = 179485726420
Thus, we can understand that the LCM of 614,689,988,385,319 is 179485726420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 689, 988, 385, 319
1. What is the LCM of 614, 689, 988, 385, 319?
Answer: LCM of 614, 689, 988, 385, 319 is 179485726420.
2. How to calculate the LCM of 614, 689, 988, 385, 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 614, 689, 988, 385, 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}.