LCM of 527, 909, 213, 883, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 909, 213, 883, 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 527, 909, 213, 883, 419. So, keep reading to learn more.
Given numbers are 527,909,213,883,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,909,213,883,419 is 12583677332781.
Find LCM of 527,909,213,883,419 with Prime Factorization
| 3 | 527, 909, 213, 883, 419 |
| 527, 303, 71, 883, 419 |
Multiply the prime numbers at the bottom and the left side.
3 x 527 x 303 x 71 x 883 x 419 = 12583677332781
Therefore, the lowest common multiple of 527,909,213,883,419 is 12583677332781.
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.
527 x 909 x 213 x 883 x 419 = 37751031998343
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.
527 : 1, 17, 31, 527
909 : 1, 3, 9, 101, 303, 909
213 : 1, 3, 71, 213
883 : 1, 883
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,909,213,883,419, is 1.
Now, the common factors can be found like this.
527:17x 31
909:3x 3x 101
213:3x 71
883:883
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 37751031998343/(1x3)
LCM = 37751031998343/3
LCM = 12583677332781
Thus, we can understand that the LCM of 527,909,213,883,419 is 12583677332781.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 909, 213, 883, 419
1. What is the LCM of 527, 909, 213, 883, 419?
Answer: LCM of 527, 909, 213, 883, 419 is 12583677332781.
2. How to calculate the LCM of 527, 909, 213, 883, 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 527, 909, 213, 883, 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}.