Find the LCM of 497, 611, 910, 120, 392 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 497, 611, 910, 120, 392. So, keep reading to learn more.
Given numbers are 497,611,910,120,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,611,910,120,392 is 255080280.
Find LCM of 497,611,910,120,392 with Prime Factorization
2 | 497, 611, 910, 120, 392 |
2 | 497, 611, 455, 60, 196 |
2 | 497, 611, 455, 30, 98 |
5 | 497, 611, 455, 15, 49 |
7 | 497, 611, 91, 3, 49 |
13 | 71, 611, 13, 3, 7 |
71, 47, 1, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 13 x 71 x 47 x 1 x 3 x 7 = 255080280
Therefore, the lowest common multiple of 497,611,910,120,392 is 255080280.
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.
497 x 611 x 910 x 120 x 392 = 12998891068800
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.
497 : 1, 7, 71, 497
611 : 1, 13, 47, 611
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,611,910,120,392, is 1.
Now, the common factors can be found like this.
497:7x 71
611:13x 47
910:2x 5x 7x 13
120:2x 2x 2x 3x 5
392:2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 7x 7x 13 = 50960
Therefore, the value for common factors is 50960.
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 = 12998891068800/(1x50960)
LCM = 12998891068800/50960
LCM = 255080280
Thus, we can understand that the LCM of 497,611,910,120,392 is 255080280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 611, 910, 120, 392?
Answer: LCM of 497, 611, 910, 120, 392 is 255080280.
2. How to calculate the LCM of 497, 611, 910, 120, 392?
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 497, 611, 910, 120, 392.
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}.