Find the LCM of 279, 834, 837, 417 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 279, 834, 837, 417. So, keep reading to learn more.
Given numbers are 279,834,837,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,834,837,417 is 232686.
Find LCM of 279,834,837,417 with Prime Factorization
3 | 279, 834, 837, 417 |
3 | 93, 278, 279, 139 |
31 | 31, 278, 93, 139 |
139 | 1, 278, 3, 139 |
1, 2, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 139 x 1 x 2 x 3 x 1 = 232686
Therefore, the lowest common multiple of 279,834,837,417 is 232686.
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.
279 x 834 x 837 x 417 = 81214161894
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.
279 : 1, 3, 9, 31, 93, 279
834 : 1, 2, 3, 6, 139, 278, 417, 834
837 : 1, 3, 9, 27, 31, 93, 279, 837
417 : 1, 3, 139, 417
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,834,837,417, is 3.
Now, the common factors can be found like this.
279:3x 3x 31
834:2x 3x 139
837:3x 3x 3x 31
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 31x 139 = 116343
Therefore, the value for common factors is 116343.
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 = 81214161894/(3x116343)
LCM = 81214161894/349029
LCM = 232686
Thus, we can understand that the LCM of 279,834,837,417 is 232686.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 834, 837, 417?
Answer: LCM of 279, 834, 837, 417 is 232686.
2. How to calculate the LCM of 279, 834, 837, 417?
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 279, 834, 837, 417.
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}.