Find the LCM of 497, 644, 896, 239 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 497, 644, 896, 239. So, keep reading to learn more.
Given numbers are 497,644,896,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,644,896,239 is 349697152.
Find LCM of 497,644,896,239 with Prime Factorization
2 | 497, 644, 896, 239 |
2 | 497, 322, 448, 239 |
7 | 497, 161, 224, 239 |
71, 23, 32, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 23 x 32 x 239 = 349697152
Therefore, the lowest common multiple of 497,644,896,239 is 349697152.
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.
497 x 644 x 896 x 239 = 68540641792
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.
497 : 1, 7, 71, 497
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,644,896,239, is 1.
Now, the common factors can be found like this.
497:7x 71
644:2x 2x 7x 23
896:2x 2x 2x 2x 2x 2x 2x 7
239:239
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 68540641792/(1x196)
LCM = 68540641792/196
LCM = 349697152
Thus, we can understand that the LCM of 497,644,896,239 is 349697152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 644, 896, 239?
Answer: LCM of 497, 644, 896, 239 is 349697152.
2. How to calculate the LCM of 497, 644, 896, 239?
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 497, 644, 896, 239.
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}.