LCM of 855, 712, 198, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 712, 198, 398 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 855, 712, 198, 398. So, keep reading to learn more.
Given numbers are 855,712,198,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,712,198,398 is 1332575640.
Find LCM of 855,712,198,398 with Prime Factorization
| 2 | 855, 712, 198, 398 |
| 3 | 855, 356, 99, 199 |
| 3 | 285, 356, 33, 199 |
| 95, 356, 11, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 95 x 356 x 11 x 199 = 1332575640
Therefore, the lowest common multiple of 855,712,198,398 is 1332575640.
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.
855 x 712 x 198 x 398 = 47972723040
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
712 : 1, 2, 4, 8, 89, 178, 356, 712
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,712,198,398, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
712:2x 2x 2x 89
198:2x 3x 3x 11
398:2x 199
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 47972723040/(1x36)
LCM = 47972723040/36
LCM = 1332575640
Thus, we can understand that the LCM of 855,712,198,398 is 1332575640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 855, 712, 198, 398
1. What is the LCM of 855, 712, 198, 398?
Answer: LCM of 855, 712, 198, 398 is 1332575640.
2. How to calculate the LCM of 855, 712, 198, 398?
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 855, 712, 198, 398.
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}.