Find the LCM of 586, 119, 274, 209, 450 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 586, 119, 274, 209, 450. So, keep reading to learn more.
Given numbers are 586,119,274,209,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,119,274,209,450 is 449256064950.
Find LCM of 586,119,274,209,450 with Prime Factorization
2 | 586, 119, 274, 209, 450 |
293, 119, 137, 209, 225 |
Multiply the prime numbers at the bottom and the left side.
2 x 293 x 119 x 137 x 209 x 225 = 449256064950
Therefore, the lowest common multiple of 586,119,274,209,450 is 449256064950.
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.
586 x 119 x 274 x 209 x 450 = 1797024259800
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.
586 : 1, 2, 293, 586
119 : 1, 7, 17, 119
274 : 1, 2, 137, 274
209 : 1, 11, 19, 209
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,119,274,209,450, is 1.
Now, the common factors can be found like this.
586:2x 293
119:7x 17
274:2x 137
209:11x 19
450:2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 1797024259800/(1x4)
LCM = 1797024259800/4
LCM = 449256064950
Thus, we can understand that the LCM of 586,119,274,209,450 is 449256064950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 119, 274, 209, 450?
Answer: LCM of 586, 119, 274, 209, 450 is 449256064950.
2. How to calculate the LCM of 586, 119, 274, 209, 450?
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 586, 119, 274, 209, 450.
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}.