LCM of 865, 418, 574, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 418, 574, 197 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 865, 418, 574, 197. So, keep reading to learn more.
Given numbers are 865,418,574,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,418,574,197 is 20442806230.
Find LCM of 865,418,574,197 with Prime Factorization
| 2 | 865, 418, 574, 197 |
| 865, 209, 287, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 865 x 209 x 287 x 197 = 20442806230
Therefore, the lowest common multiple of 865,418,574,197 is 20442806230.
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.
865 x 418 x 574 x 197 = 40885612460
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.
865 : 1, 5, 173, 865
418 : 1, 2, 11, 19, 22, 38, 209, 418
574 : 1, 2, 7, 14, 41, 82, 287, 574
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,418,574,197, is 1.
Now, the common factors can be found like this.
865:5x 173
418:2x 11x 19
574:2x 7x 41
197:197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 40885612460/(1x2)
LCM = 40885612460/2
LCM = 20442806230
Thus, we can understand that the LCM of 865,418,574,197 is 20442806230.
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FAQs on LCM of 865, 418, 574, 197
1. What is the LCM of 865, 418, 574, 197?
Answer: LCM of 865, 418, 574, 197 is 20442806230.
2. How to calculate the LCM of 865, 418, 574, 197?
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 865, 418, 574, 197.
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}.