Find the LCM of 754, 656, 325, 287 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 754, 656, 325, 287. So, keep reading to learn more.
Given numbers are 754,656,325,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,656,325,287 is 43279600.
Find LCM of 754,656,325,287 with Prime Factorization
2 | 754, 656, 325, 287 |
13 | 377, 328, 325, 287 |
41 | 29, 328, 25, 287 |
29, 8, 25, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 41 x 29 x 8 x 25 x 7 = 43279600
Therefore, the lowest common multiple of 754,656,325,287 is 43279600.
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.
754 x 656 x 325 x 287 = 46136053600
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
325 : 1, 5, 13, 25, 65, 325
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,656,325,287, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
656:2x 2x 2x 2x 41
325:5x 5x 13
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 41 = 1066
Therefore, the value for common factors is 1066.
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 = 46136053600/(1x1066)
LCM = 46136053600/1066
LCM = 43279600
Thus, we can understand that the LCM of 754,656,325,287 is 43279600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 754, 656, 325, 287?
Answer: LCM of 754, 656, 325, 287 is 43279600.
2. How to calculate the LCM of 754, 656, 325, 287?
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 754, 656, 325, 287.
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}.