LCM of 539, 988, 364, 901, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 988, 364, 901, 497 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 539, 988, 364, 901, 497. So, keep reading to learn more.
Given numbers are 539,988,364,901,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,988,364,901,497 is 34066604572.
Find LCM of 539,988,364,901,497 with Prime Factorization
| 2 | 539, 988, 364, 901, 497 |
| 2 | 539, 494, 182, 901, 497 |
| 7 | 539, 247, 91, 901, 497 |
| 13 | 77, 247, 13, 901, 71 |
| 77, 19, 1, 901, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 77 x 19 x 1 x 901 x 71 = 34066604572
Therefore, the lowest common multiple of 539,988,364,901,497 is 34066604572.
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.
539 x 988 x 364 x 901 x 497 = 86801708449456
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.
539 : 1, 7, 11, 49, 77, 539
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
901 : 1, 17, 53, 901
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,988,364,901,497, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
988:2x 2x 13x 19
364:2x 2x 7x 13
901:17x 53
497:7x 71
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 7x 7x 13 = 2548
Therefore, the value for common factors is 2548.
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 = 86801708449456/(1x2548)
LCM = 86801708449456/2548
LCM = 34066604572
Thus, we can understand that the LCM of 539,988,364,901,497 is 34066604572.
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FAQs on LCM of 539, 988, 364, 901, 497
1. What is the LCM of 539, 988, 364, 901, 497?
Answer: LCM of 539, 988, 364, 901, 497 is 34066604572.
2. How to calculate the LCM of 539, 988, 364, 901, 497?
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 539, 988, 364, 901, 497.
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}.