LCM of 195, 645, 674, 544, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 645, 674, 544, 289 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 195, 645, 674, 544, 289. So, keep reading to learn more.
Given numbers are 195,645,674,544,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,645,674,544,289 is 26132489760.
Find LCM of 195,645,674,544,289 with Prime Factorization
| 2 | 195, 645, 674, 544, 289 |
| 3 | 195, 645, 337, 272, 289 |
| 5 | 65, 215, 337, 272, 289 |
| 17 | 13, 43, 337, 272, 289 |
| 13, 43, 337, 16, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 13 x 43 x 337 x 16 x 17 = 26132489760
Therefore, the lowest common multiple of 195,645,674,544,289 is 26132489760.
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.
195 x 645 x 674 x 544 x 289 = 13327569777600
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
645 : 1, 3, 5, 15, 43, 129, 215, 645
674 : 1, 2, 337, 674
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,645,674,544,289, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
645:3x 5x 43
674:2x 337
544:2x 2x 2x 2x 2x 17
289:17x 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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 13327569777600/(1x510)
LCM = 13327569777600/510
LCM = 26132489760
Thus, we can understand that the LCM of 195,645,674,544,289 is 26132489760.
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FAQs on LCM of 195, 645, 674, 544, 289
1. What is the LCM of 195, 645, 674, 544, 289?
Answer: LCM of 195, 645, 674, 544, 289 is 26132489760.
2. How to calculate the LCM of 195, 645, 674, 544, 289?
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 195, 645, 674, 544, 289.
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}.