LCM of 374, 999, 195, 808, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 999, 195, 808, 561 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 374, 999, 195, 808, 561. So, keep reading to learn more.
Given numbers are 374,999,195,808,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,999,195,808,561 is 9811418760.
Find LCM of 374,999,195,808,561 with Prime Factorization
| 2 | 374, 999, 195, 808, 561 |
| 3 | 187, 999, 195, 404, 561 |
| 11 | 187, 333, 65, 404, 187 |
| 17 | 17, 333, 65, 404, 17 |
| 1, 333, 65, 404, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 1 x 333 x 65 x 404 x 1 = 9811418760
Therefore, the lowest common multiple of 374,999,195,808,561 is 9811418760.
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.
374 x 999 x 195 x 808 x 561 = 33025235546160
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
999 : 1, 3, 9, 27, 37, 111, 333, 999
195 : 1, 3, 5, 13, 15, 39, 65, 195
808 : 1, 2, 4, 8, 101, 202, 404, 808
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,999,195,808,561, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
999:3x 3x 3x 37
195:3x 5x 13
808:2x 2x 2x 101
561:3x 11x 17
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 11x 17 = 3366
Therefore, the value for common factors is 3366.
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 = 33025235546160/(1x3366)
LCM = 33025235546160/3366
LCM = 9811418760
Thus, we can understand that the LCM of 374,999,195,808,561 is 9811418760.
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FAQs on LCM of 374, 999, 195, 808, 561
1. What is the LCM of 374, 999, 195, 808, 561?
Answer: LCM of 374, 999, 195, 808, 561 is 9811418760.
2. How to calculate the LCM of 374, 999, 195, 808, 561?
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 374, 999, 195, 808, 561.
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}.