Find the LCM of 454, 209, 917, 508, 113 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 454, 209, 917, 508, 113. So, keep reading to learn more.
Given numbers are 454,209,917,508,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,209,917,508,113 is 2497374280324.
Find LCM of 454,209,917,508,113 with Prime Factorization
2 | 454, 209, 917, 508, 113 |
227, 209, 917, 254, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 227 x 209 x 917 x 254 x 113 = 2497374280324
Therefore, the lowest common multiple of 454,209,917,508,113 is 2497374280324.
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.
454 x 209 x 917 x 508 x 113 = 4994748560648
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.
454 : 1, 2, 227, 454
209 : 1, 11, 19, 209
917 : 1, 7, 131, 917
508 : 1, 2, 4, 127, 254, 508
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,209,917,508,113, is 1.
Now, the common factors can be found like this.
454:2x 227
209:11x 19
917:7x 131
508:2x 2x 127
113:113
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 = 4994748560648/(1x2)
LCM = 4994748560648/2
LCM = 2497374280324
Thus, we can understand that the LCM of 454,209,917,508,113 is 2497374280324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 209, 917, 508, 113?
Answer: LCM of 454, 209, 917, 508, 113 is 2497374280324.
2. How to calculate the LCM of 454, 209, 917, 508, 113?
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 454, 209, 917, 508, 113.
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}.