Find the LCM of 711, 586, 502, 712, 427 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, 586, 502, 712, 427. So, keep reading to learn more.
Given numbers are 711,586,502,712,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,586,502,712,427 is 15897133129752.
Find LCM of 711,586,502,712,427 with Prime Factorization
2 | 711, 586, 502, 712, 427 |
711, 293, 251, 356, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 711 x 293 x 251 x 356 x 427 = 15897133129752
Therefore, the lowest common multiple of 711,586,502,712,427 is 15897133129752.
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 586 x 502 x 712 x 427 = 63588532519008
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
586 : 1, 2, 293, 586
502 : 1, 2, 251, 502
712 : 1, 2, 4, 8, 89, 178, 356, 712
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,586,502,712,427, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
586:2x 293
502:2x 251
712:2x 2x 2x 89
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 63588532519008/(1x4)
LCM = 63588532519008/4
LCM = 15897133129752
Thus, we can understand that the LCM of 711,586,502,712,427 is 15897133129752.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 586, 502, 712, 427?
Answer: LCM of 711, 586, 502, 712, 427 is 15897133129752.
2. How to calculate the LCM of 711, 586, 502, 712, 427?
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, 586, 502, 712, 427.
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}.