Find the LCM of 711, 510, 143, 160, 923 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, 510, 143, 160, 923. So, keep reading to learn more.
Given numbers are 711,510,143,160,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,510,143,160,923 is 19635089760.
Find LCM of 711,510,143,160,923 with Prime Factorization
2 | 711, 510, 143, 160, 923 |
3 | 711, 255, 143, 80, 923 |
5 | 237, 85, 143, 80, 923 |
13 | 237, 17, 143, 16, 923 |
237, 17, 11, 16, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 237 x 17 x 11 x 16 x 71 = 19635089760
Therefore, the lowest common multiple of 711,510,143,160,923 is 19635089760.
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 510 x 143 x 160 x 923 = 7657685006400
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
143 : 1, 11, 13, 143
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,510,143,160,923, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
510:2x 3x 5x 17
143:11x 13
160:2x 2x 2x 2x 2x 5
923:13x 71
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 7657685006400/(1x390)
LCM = 7657685006400/390
LCM = 19635089760
Thus, we can understand that the LCM of 711,510,143,160,923 is 19635089760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 510, 143, 160, 923?
Answer: LCM of 711, 510, 143, 160, 923 is 19635089760.
2. How to calculate the LCM of 711, 510, 143, 160, 923?
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, 510, 143, 160, 923.
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}.