LCM of 595, 961, 546, 643, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 961, 546, 643, 391 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 595, 961, 546, 643, 391. So, keep reading to learn more.
Given numbers are 595,961,546,643,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,961,546,643,391 is 659589547890.
Find LCM of 595,961,546,643,391 with Prime Factorization
| 7 | 595, 961, 546, 643, 391 |
| 17 | 85, 961, 78, 643, 391 |
| 5, 961, 78, 643, 23 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 5 x 961 x 78 x 643 x 23 = 659589547890
Therefore, the lowest common multiple of 595,961,546,643,391 is 659589547890.
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.
595 x 961 x 546 x 643 x 391 = 78491156198910
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
961 : 1, 31, 961
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
643 : 1, 643
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,961,546,643,391, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
961:31x 31
546:2x 3x 7x 13
643:643
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 78491156198910/(1x119)
LCM = 78491156198910/119
LCM = 659589547890
Thus, we can understand that the LCM of 595,961,546,643,391 is 659589547890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 961, 546, 643, 391
1. What is the LCM of 595, 961, 546, 643, 391?
Answer: LCM of 595, 961, 546, 643, 391 is 659589547890.
2. How to calculate the LCM of 595, 961, 546, 643, 391?
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 595, 961, 546, 643, 391.
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}.