Find the LCM of 407, 723, 888, 868, 769 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 407, 723, 888, 868, 769. So, keep reading to learn more.
Given numbers are 407,723,888,868,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,723,888,868,769 is 392833726824.
Find LCM of 407,723,888,868,769 with Prime Factorization
2 | 407, 723, 888, 868, 769 |
2 | 407, 723, 444, 434, 769 |
3 | 407, 723, 222, 217, 769 |
37 | 407, 241, 74, 217, 769 |
11, 241, 2, 217, 769 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 11 x 241 x 2 x 217 x 769 = 392833726824
Therefore, the lowest common multiple of 407,723,888,868,769 is 392833726824.
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.
407 x 723 x 888 x 868 x 769 = 174418174709856
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.
407 : 1, 11, 37, 407
723 : 1, 3, 241, 723
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,723,888,868,769, is 1.
Now, the common factors can be found like this.
407:11x 37
723:3x 241
888:2x 2x 2x 3x 37
868:2x 2x 7x 31
769:769
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 3x 37 = 444
Therefore, the value for common factors is 444.
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 = 174418174709856/(1x444)
LCM = 174418174709856/444
LCM = 392833726824
Thus, we can understand that the LCM of 407,723,888,868,769 is 392833726824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 723, 888, 868, 769?
Answer: LCM of 407, 723, 888, 868, 769 is 392833726824.
2. How to calculate the LCM of 407, 723, 888, 868, 769?
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 407, 723, 888, 868, 769.
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}.