LCM of 300, 637, 884, 351, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 637, 884, 351, 195 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 300, 637, 884, 351, 195. So, keep reading to learn more.
Given numbers are 300,637,884,351,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,637,884,351,195 is 29238300.
Find LCM of 300,637,884,351,195 with Prime Factorization
| 2 | 300, 637, 884, 351, 195 |
| 2 | 150, 637, 442, 351, 195 |
| 3 | 75, 637, 221, 351, 195 |
| 5 | 25, 637, 221, 117, 65 |
| 13 | 5, 637, 221, 117, 13 |
| 5, 49, 17, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 5 x 49 x 17 x 9 x 1 = 29238300
Therefore, the lowest common multiple of 300,637,884,351,195 is 29238300.
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.
300 x 637 x 884 x 351 x 195 = 11562578118000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
637 : 1, 7, 13, 49, 91, 637
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
351 : 1, 3, 9, 13, 27, 39, 117, 351
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,637,884,351,195, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
637:7x 7x 13
884:2x 2x 13x 17
351:3x 3x 3x 13
195:3x 5x 13
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 3x 3x 5x 13x 13x 13 = 395460
Therefore, the value for common factors is 395460.
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 = 11562578118000/(1x395460)
LCM = 11562578118000/395460
LCM = 29238300
Thus, we can understand that the LCM of 300,637,884,351,195 is 29238300.
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FAQs on LCM of 300, 637, 884, 351, 195
1. What is the LCM of 300, 637, 884, 351, 195?
Answer: LCM of 300, 637, 884, 351, 195 is 29238300.
2. How to calculate the LCM of 300, 637, 884, 351, 195?
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 300, 637, 884, 351, 195.
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}.