Find the LCM of 521, 390, 651, 218, 421 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 521, 390, 651, 218, 421. So, keep reading to learn more.
Given numbers are 521,390,651,218,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,390,651,218,421 is 2023348342470.
Find LCM of 521,390,651,218,421 with Prime Factorization
2 | 521, 390, 651, 218, 421 |
3 | 521, 195, 651, 109, 421 |
521, 65, 217, 109, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 521 x 65 x 217 x 109 x 421 = 2023348342470
Therefore, the lowest common multiple of 521,390,651,218,421 is 2023348342470.
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.
521 x 390 x 651 x 218 x 421 = 12140090054820
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.
521 : 1, 521
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
651 : 1, 3, 7, 21, 31, 93, 217, 651
218 : 1, 2, 109, 218
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,390,651,218,421, is 1.
Now, the common factors can be found like this.
521:521
390:2x 3x 5x 13
651:3x 7x 31
218:2x 109
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 12140090054820/(1x6)
LCM = 12140090054820/6
LCM = 2023348342470
Thus, we can understand that the LCM of 521,390,651,218,421 is 2023348342470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 521, 390, 651, 218, 421?
Answer: LCM of 521, 390, 651, 218, 421 is 2023348342470.
2. How to calculate the LCM of 521, 390, 651, 218, 421?
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 521, 390, 651, 218, 421.
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}.