Find the LCM of 611, 274, 187, 209, 874 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 611, 274, 187, 209, 874. So, keep reading to learn more.
Given numbers are 611,274,187,209,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,274,187,209,874 is 13680904666.
Find LCM of 611,274,187,209,874 with Prime Factorization
2 | 611, 274, 187, 209, 874 |
11 | 611, 137, 187, 209, 437 |
19 | 611, 137, 17, 19, 437 |
611, 137, 17, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 611 x 137 x 17 x 1 x 23 = 13680904666
Therefore, the lowest common multiple of 611,274,187,209,874 is 13680904666.
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.
611 x 274 x 187 x 209 x 874 = 5718618150388
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.
611 : 1, 13, 47, 611
274 : 1, 2, 137, 274
187 : 1, 11, 17, 187
209 : 1, 11, 19, 209
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,274,187,209,874, is 1.
Now, the common factors can be found like this.
611:13x 47
274:2x 137
187:11x 17
209:11x 19
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 5718618150388/(1x418)
LCM = 5718618150388/418
LCM = 13680904666
Thus, we can understand that the LCM of 611,274,187,209,874 is 13680904666.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 611, 274, 187, 209, 874?
Answer: LCM of 611, 274, 187, 209, 874 is 13680904666.
2. How to calculate the LCM of 611, 274, 187, 209, 874?
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 611, 274, 187, 209, 874.
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}.