Find the LCM of 711, 923, 748, 663, 261 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, 923, 748, 663, 261. So, keep reading to learn more.
Given numbers are 711,923,748,663,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,923,748,663,261 is 14235440076.
Find LCM of 711,923,748,663,261 with Prime Factorization
3 | 711, 923, 748, 663, 261 |
3 | 237, 923, 748, 221, 87 |
13 | 79, 923, 748, 221, 29 |
17 | 79, 71, 748, 17, 29 |
79, 71, 44, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 17 x 79 x 71 x 44 x 1 x 29 = 14235440076
Therefore, the lowest common multiple of 711,923,748,663,261 is 14235440076.
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 923 x 748 x 663 x 261 = 84942870933492
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
923 : 1, 13, 71, 923
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
663 : 1, 3, 13, 17, 39, 51, 221, 663
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,923,748,663,261, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
923:13x 71
748:2x 2x 11x 17
663:3x 13x 17
261:3x 3x 29
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 13x 17 = 5967
Therefore, the value for common factors is 5967.
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 = 84942870933492/(1x5967)
LCM = 84942870933492/5967
LCM = 14235440076
Thus, we can understand that the LCM of 711,923,748,663,261 is 14235440076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 923, 748, 663, 261?
Answer: LCM of 711, 923, 748, 663, 261 is 14235440076.
2. How to calculate the LCM of 711, 923, 748, 663, 261?
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, 923, 748, 663, 261.
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}.