Find the LCM of 193, 618, 313, 412 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 193, 618, 313, 412. So, keep reading to learn more.
Given numbers are 193,618,313,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,618,313,412 is 74665524.
Find LCM of 193,618,313,412 with Prime Factorization
2 | 193, 618, 313, 412 |
103 | 193, 309, 313, 206 |
193, 3, 313, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 193 x 3 x 313 x 2 = 74665524
Therefore, the lowest common multiple of 193,618,313,412 is 74665524.
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.
193 x 618 x 313 x 412 = 15381097944
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.
193 : 1, 193
618 : 1, 2, 3, 6, 103, 206, 309, 618
313 : 1, 313
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,618,313,412, is 1.
Now, the common factors can be found like this.
193:193
618:2x 3x 103
313:313
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 15381097944/(1x206)
LCM = 15381097944/206
LCM = 74665524
Thus, we can understand that the LCM of 193,618,313,412 is 74665524.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 193, 618, 313, 412?
Answer: LCM of 193, 618, 313, 412 is 74665524.
2. How to calculate the LCM of 193, 618, 313, 412?
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 193, 618, 313, 412.
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}.