Find the LCM of 137, 319, 319, 55 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 137, 319, 319, 55. So, keep reading to learn more.
Given numbers are 137,319,319,55
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,319,319,55 is 218515.
Find LCM of 137,319,319,55 with Prime Factorization
11 | 137, 319, 319, 55 |
29 | 137, 29, 29, 5 |
137, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 137 x 1 x 1 x 5 = 218515
Therefore, the lowest common multiple of 137,319,319,55 is 218515.
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.
137 x 319 x 319 x 55 = 766769135
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.
137 : 1, 137
319 : 1, 11, 29, 319
319 : 1, 11, 29, 319
55 : 1, 5, 11, 55
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,319,319,55, is 1.
Now, the common factors can be found like this.
137:137
319:11x 29
319:11x 29
55:5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 29 = 3509
Therefore, the value for common factors is 3509.
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 = 766769135/(1x3509)
LCM = 766769135/3509
LCM = 218515
Thus, we can understand that the LCM of 137,319,319,55 is 218515.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 319, 319, 55?
Answer: LCM of 137, 319, 319, 55 is 218515.
2. How to calculate the LCM of 137, 319, 319, 55?
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 137, 319, 319, 55.
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}.