Find the LCM of 561, 450, 491, 406, 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 561, 450, 491, 406, 358. So, keep reading to learn more.
Given numbers are 561,450,491,406,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,450,491,406,358 is 1501359448050.
Find LCM of 561,450,491,406,358 with Prime Factorization
2 | 561, 450, 491, 406, 358 |
3 | 561, 225, 491, 203, 179 |
187, 75, 491, 203, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 75 x 491 x 203 x 179 = 1501359448050
Therefore, the lowest common multiple of 561,450,491,406,358 is 1501359448050.
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.
561 x 450 x 491 x 406 x 358 = 18016313376600
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
491 : 1, 491
406 : 1, 2, 7, 14, 29, 58, 203, 406
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,450,491,406,358, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
450:2x 3x 3x 5x 5
491:491
406:2x 7x 29
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 3 = 12
Therefore, the value for common factors is 12.
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 = 18016313376600/(1x12)
LCM = 18016313376600/12
LCM = 1501359448050
Thus, we can understand that the LCM of 561,450,491,406,358 is 1501359448050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 450, 491, 406, 358?
Answer: LCM of 561, 450, 491, 406, 358 is 1501359448050.
2. How to calculate the LCM of 561, 450, 491, 406, 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 561, 450, 491, 406, 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}.