LCM of 539, 187, 133, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 187, 133, 419 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, 187, 133, 419. So, keep reading to learn more.
Given numbers are 539,187,133,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,187,133,419 is 72946643.
Find LCM of 539,187,133,419 with Prime Factorization
| 7 | 539, 187, 133, 419 |
| 11 | 77, 187, 19, 419 |
| 7, 17, 19, 419 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 7 x 17 x 19 x 419 = 72946643
Therefore, the lowest common multiple of 539,187,133,419 is 72946643.
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 187 x 133 x 419 = 5616891511
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
187 : 1, 11, 17, 187
133 : 1, 7, 19, 133
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,187,133,419, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
187:11x 17
133:7x 19
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11 = 77
Therefore, the value for common factors is 77.
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 = 5616891511/(1x77)
LCM = 5616891511/77
LCM = 72946643
Thus, we can understand that the LCM of 539,187,133,419 is 72946643.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 187, 133, 419
1. What is the LCM of 539, 187, 133, 419?
Answer: LCM of 539, 187, 133, 419 is 72946643.
2. How to calculate the LCM of 539, 187, 133, 419?
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, 187, 133, 419.
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}.