Find the LCM of 906, 513, 274, 755, 361 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 906, 513, 274, 755, 361. So, keep reading to learn more.
Given numbers are 906,513,274,755,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,513,274,755,361 is 2016361890.
Find LCM of 906,513,274,755,361 with Prime Factorization
2 | 906, 513, 274, 755, 361 |
3 | 453, 513, 137, 755, 361 |
19 | 151, 171, 137, 755, 361 |
151 | 151, 9, 137, 755, 19 |
1, 9, 137, 5, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 151 x 1 x 9 x 137 x 5 x 19 = 2016361890
Therefore, the lowest common multiple of 906,513,274,755,361 is 2016361890.
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.
906 x 513 x 274 x 755 x 361 = 34709653574460
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
513 : 1, 3, 9, 19, 27, 57, 171, 513
274 : 1, 2, 137, 274
755 : 1, 5, 151, 755
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,513,274,755,361, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
513:3x 3x 3x 19
274:2x 137
755:5x 151
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19x 151 = 17214
Therefore, the value for common factors is 17214.
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 = 34709653574460/(1x17214)
LCM = 34709653574460/17214
LCM = 2016361890
Thus, we can understand that the LCM of 906,513,274,755,361 is 2016361890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 513, 274, 755, 361?
Answer: LCM of 906, 513, 274, 755, 361 is 2016361890.
2. How to calculate the LCM of 906, 513, 274, 755, 361?
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 906, 513, 274, 755, 361.
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}.