Find the LCM of 711, 978, 796, 228, 589 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 711, 978, 796, 228, 589. So, keep reading to learn more.
Given numbers are 711,978,796,228,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,978,796,228,589 is 54335737692.
Find LCM of 711,978,796,228,589 with Prime Factorization
2 | 711, 978, 796, 228, 589 |
2 | 711, 489, 398, 114, 589 |
3 | 711, 489, 199, 57, 589 |
19 | 237, 163, 199, 19, 589 |
237, 163, 199, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 237 x 163 x 199 x 1 x 31 = 54335737692
Therefore, the lowest common multiple of 711,978,796,228,589 is 54335737692.
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.
711 x 978 x 796 x 228 x 589 = 74331289162656
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.
711 : 1, 3, 9, 79, 237, 711
978 : 1, 2, 3, 6, 163, 326, 489, 978
796 : 1, 2, 4, 199, 398, 796
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,978,796,228,589, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
978:2x 3x 163
796:2x 2x 199
228:2x 2x 3x 19
589:19x 31
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 2x 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 74331289162656/(1x1368)
LCM = 74331289162656/1368
LCM = 54335737692
Thus, we can understand that the LCM of 711,978,796,228,589 is 54335737692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 978, 796, 228, 589?
Answer: LCM of 711, 978, 796, 228, 589 is 54335737692.
2. How to calculate the LCM of 711, 978, 796, 228, 589?
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 711, 978, 796, 228, 589.
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}.