Find the LCM of 711, 339, 792, 657, 898 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, 339, 792, 657, 898. So, keep reading to learn more.
Given numbers are 711,339,792,657,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,339,792,657,898 is 231739420968.
Find LCM of 711,339,792,657,898 with Prime Factorization
2 | 711, 339, 792, 657, 898 |
3 | 711, 339, 396, 657, 449 |
3 | 237, 113, 132, 219, 449 |
79, 113, 44, 73, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 79 x 113 x 44 x 73 x 449 = 231739420968
Therefore, the lowest common multiple of 711,339,792,657,898 is 231739420968.
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 339 x 792 x 657 x 898 = 112625358590448
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
339 : 1, 3, 113, 339
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
657 : 1, 3, 9, 73, 219, 657
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,339,792,657,898, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
339:3x 113
792:2x 2x 2x 3x 3x 11
657:3x 3x 73
898:2x 449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 112625358590448/(1x486)
LCM = 112625358590448/486
LCM = 231739420968
Thus, we can understand that the LCM of 711,339,792,657,898 is 231739420968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 339, 792, 657, 898?
Answer: LCM of 711, 339, 792, 657, 898 is 231739420968.
2. How to calculate the LCM of 711, 339, 792, 657, 898?
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, 339, 792, 657, 898.
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}.