LCM of 374, 200, 442, 195, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 200, 442, 195, 272 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, 200, 442, 195, 272. So, keep reading to learn more.
Given numbers are 374,200,442,195,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,200,442,195,272 is 2917200.
Find LCM of 374,200,442,195,272 with Prime Factorization
| 2 | 374, 200, 442, 195, 272 |
| 2 | 187, 100, 221, 195, 136 |
| 2 | 187, 50, 221, 195, 68 |
| 5 | 187, 25, 221, 195, 34 |
| 13 | 187, 5, 221, 39, 34 |
| 17 | 187, 5, 17, 3, 34 |
| 11, 5, 1, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 17 x 11 x 5 x 1 x 3 x 2 = 2917200
Therefore, the lowest common multiple of 374,200,442,195,272 is 2917200.
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 200 x 442 x 195 x 272 = 1753587264000
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
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
442 : 1, 2, 13, 17, 26, 34, 221, 442
195 : 1, 3, 5, 13, 15, 39, 65, 195
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,200,442,195,272, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
200:2x 2x 2x 5x 5
442:2x 13x 17
195:3x 5x 13
272:2x 2x 2x 2x 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 2x 2x 2x 2x 5x 13x 17x 17 = 601120
Therefore, the value for common factors is 601120.
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 = 1753587264000/(1x601120)
LCM = 1753587264000/601120
LCM = 2917200
Thus, we can understand that the LCM of 374,200,442,195,272 is 2917200.
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FAQs on LCM of 374, 200, 442, 195, 272
1. What is the LCM of 374, 200, 442, 195, 272?
Answer: LCM of 374, 200, 442, 195, 272 is 2917200.
2. How to calculate the LCM of 374, 200, 442, 195, 272?
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, 200, 442, 195, 272.
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}.