Find the LCM of 348, 985, 109, 370 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 348, 985, 109, 370. So, keep reading to learn more.
Given numbers are 348,985,109,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,985,109,370 is 1382431740.
Find LCM of 348,985,109,370 with Prime Factorization
2 | 348, 985, 109, 370 |
5 | 174, 985, 109, 185 |
174, 197, 109, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 174 x 197 x 109 x 37 = 1382431740
Therefore, the lowest common multiple of 348,985,109,370 is 1382431740.
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.
348 x 985 x 109 x 370 = 13824317400
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
985 : 1, 5, 197, 985
109 : 1, 109
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,985,109,370, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
985:5x 197
109:109
370:2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 13824317400/(1x10)
LCM = 13824317400/10
LCM = 1382431740
Thus, we can understand that the LCM of 348,985,109,370 is 1382431740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 348, 985, 109, 370?
Answer: LCM of 348, 985, 109, 370 is 1382431740.
2. How to calculate the LCM of 348, 985, 109, 370?
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 348, 985, 109, 370.
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}.