LCM of 585, 198, 445, 398, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 198, 445, 398, 627 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 585, 198, 445, 398, 627. So, keep reading to learn more.
Given numbers are 585,198,445,398,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,198,445,398,627 is 4330870830.
Find LCM of 585,198,445,398,627 with Prime Factorization
| 2 | 585, 198, 445, 398, 627 |
| 3 | 585, 99, 445, 199, 627 |
| 3 | 195, 33, 445, 199, 209 |
| 5 | 65, 11, 445, 199, 209 |
| 11 | 13, 11, 89, 199, 209 |
| 13, 1, 89, 199, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 13 x 1 x 89 x 199 x 19 = 4330870830
Therefore, the lowest common multiple of 585,198,445,398,627 is 4330870830.
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.
585 x 198 x 445 x 398 x 627 = 12862686365100
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
445 : 1, 5, 89, 445
398 : 1, 2, 199, 398
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,198,445,398,627, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
198:2x 3x 3x 11
445:5x 89
398:2x 199
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 12862686365100/(1x2970)
LCM = 12862686365100/2970
LCM = 4330870830
Thus, we can understand that the LCM of 585,198,445,398,627 is 4330870830.
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FAQs on LCM of 585, 198, 445, 398, 627
1. What is the LCM of 585, 198, 445, 398, 627?
Answer: LCM of 585, 198, 445, 398, 627 is 4330870830.
2. How to calculate the LCM of 585, 198, 445, 398, 627?
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 585, 198, 445, 398, 627.
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}.