Find the LCM of 914, 213, 392, 509, 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 914, 213, 392, 509, 421. So, keep reading to learn more.
Given numbers are 914,213,392,509,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,213,392,509,421 is 8176769375208.
Find LCM of 914,213,392,509,421 with Prime Factorization
2 | 914, 213, 392, 509, 421 |
457, 213, 196, 509, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 213 x 196 x 509 x 421 = 8176769375208
Therefore, the lowest common multiple of 914,213,392,509,421 is 8176769375208.
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.
914 x 213 x 392 x 509 x 421 = 16353538750416
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.
914 : 1, 2, 457, 914
213 : 1, 3, 71, 213
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
509 : 1, 509
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,213,392,509,421, is 1.
Now, the common factors can be found like this.
914:2x 457
213:3x 71
392:2x 2x 2x 7x 7
509:509
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 16353538750416/(1x2)
LCM = 16353538750416/2
LCM = 8176769375208
Thus, we can understand that the LCM of 914,213,392,509,421 is 8176769375208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 213, 392, 509, 421?
Answer: LCM of 914, 213, 392, 509, 421 is 8176769375208.
2. How to calculate the LCM of 914, 213, 392, 509, 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 914, 213, 392, 509, 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}.