Find the LCM of 346, 545, 139, 417 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 346, 545, 139, 417. So, keep reading to learn more.
Given numbers are 346,545,139,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,545,139,417 is 78633690.
Find LCM of 346,545,139,417 with Prime Factorization
139 | 346, 545, 139, 417 |
346, 545, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
139 x 346 x 545 x 1 x 3 = 78633690
Therefore, the lowest common multiple of 346,545,139,417 is 78633690.
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.
346 x 545 x 139 x 417 = 10930082910
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.
346 : 1, 2, 173, 346
545 : 1, 5, 109, 545
139 : 1, 139
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,545,139,417, is 1.
Now, the common factors can be found like this.
346:2x 173
545:5x 109
139:139
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
139 = 139
Therefore, the value for common factors is 139.
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 = 10930082910/(1x139)
LCM = 10930082910/139
LCM = 78633690
Thus, we can understand that the LCM of 346,545,139,417 is 78633690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 545, 139, 417?
Answer: LCM of 346, 545, 139, 417 is 78633690.
2. How to calculate the LCM of 346, 545, 139, 417?
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 346, 545, 139, 417.
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}.