Find the LCM of 341, 409, 649, 369 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 341, 409, 649, 369. So, keep reading to learn more.
Given numbers are 341,409,649,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,409,649,369 is 3036379599.
Find LCM of 341,409,649,369 with Prime Factorization
11 | 341, 409, 649, 369 |
31, 409, 59, 369 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 409 x 59 x 369 = 3036379599
Therefore, the lowest common multiple of 341,409,649,369 is 3036379599.
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.
341 x 409 x 649 x 369 = 33400175589
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.
341 : 1, 11, 31, 341
409 : 1, 409
649 : 1, 11, 59, 649
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,409,649,369, is 1.
Now, the common factors can be found like this.
341:11x 31
409:409
649:11x 59
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 33400175589/(1x11)
LCM = 33400175589/11
LCM = 3036379599
Thus, we can understand that the LCM of 341,409,649,369 is 3036379599.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 409, 649, 369?
Answer: LCM of 341, 409, 649, 369 is 3036379599.
2. How to calculate the LCM of 341, 409, 649, 369?
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 341, 409, 649, 369.
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}.