Find the LCM of 51, 389, 119 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 51, 389, 119. So, keep reading to learn more.
Given numbers are 51,389,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 51,389,119 is 138873.
Find LCM of 51,389,119 with Prime Factorization
17 | 51, 389, 119 |
3, 389, 7 |
Multiply the prime numbers at the bottom and the left side.
17 x 3 x 389 x 7 = 138873
Therefore, the lowest common multiple of 51,389,119 is 138873.
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.
51 x 389 x 119 = 2360841
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.
51 : 1, 3, 17, 51
389 : 1, 389
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 51,389,119, is 1.
Now, the common factors can be found like this.
51:3x 17
389:389
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 2360841/(1x17)
LCM = 2360841/17
LCM = 138873
Thus, we can understand that the LCM of 51,389,119 is 138873.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 51, 389, 119?
Answer: LCM of 51, 389, 119 is 138873.
2. How to calculate the LCM of 51, 389, 119?
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 51, 389, 119.
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}.