LCM of 539, 667, 319, 676, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 667, 319, 676, 961 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, 667, 319, 676, 961. So, keep reading to learn more.
Given numbers are 539,667,319,676,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,667,319,676,961 is 233552587268.
Find LCM of 539,667,319,676,961 with Prime Factorization
| 11 | 539, 667, 319, 676, 961 |
| 29 | 49, 667, 29, 676, 961 |
| 49, 23, 1, 676, 961 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 49 x 23 x 1 x 676 x 961 = 233552587268
Therefore, the lowest common multiple of 539,667,319,676,961 is 233552587268.
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 667 x 319 x 676 x 961 = 74503275338492
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
667 : 1, 23, 29, 667
319 : 1, 11, 29, 319
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,667,319,676,961, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
667:23x 29
319:11x 29
676:2x 2x 13x 13
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 74503275338492/(1x319)
LCM = 74503275338492/319
LCM = 233552587268
Thus, we can understand that the LCM of 539,667,319,676,961 is 233552587268.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 667, 319, 676, 961
1. What is the LCM of 539, 667, 319, 676, 961?
Answer: LCM of 539, 667, 319, 676, 961 is 233552587268.
2. How to calculate the LCM of 539, 667, 319, 676, 961?
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, 667, 319, 676, 961.
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}.