Find the LCM of 409, 950, 378, 342, 358 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 409, 950, 378, 342, 358. So, keep reading to learn more.
Given numbers are 409,950,378,342,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,950,378,342,358 is 13145035050.
Find LCM of 409,950,378,342,358 with Prime Factorization
2 | 409, 950, 378, 342, 358 |
3 | 409, 475, 189, 171, 179 |
3 | 409, 475, 63, 57, 179 |
19 | 409, 475, 21, 19, 179 |
409, 25, 21, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 409 x 25 x 21 x 1 x 179 = 13145035050
Therefore, the lowest common multiple of 409,950,378,342,358 is 13145035050.
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.
409 x 950 x 378 x 342 x 358 = 17982407948400
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.
409 : 1, 409
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,950,378,342,358, is 1.
Now, the common factors can be found like this.
409:409
950:2x 5x 5x 19
378:2x 3x 3x 3x 7
342:2x 3x 3x 19
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 17982407948400/(1x1368)
LCM = 17982407948400/1368
LCM = 13145035050
Thus, we can understand that the LCM of 409,950,378,342,358 is 13145035050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 950, 378, 342, 358?
Answer: LCM of 409, 950, 378, 342, 358 is 13145035050.
2. How to calculate the LCM of 409, 950, 378, 342, 358?
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 409, 950, 378, 342, 358.
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}.