Find the LCM of 689, 239, 901, 881, 447 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 689, 239, 901, 881, 447. So, keep reading to learn more.
Given numbers are 689,239,901,881,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,239,901,881,447 is 1102426072449.
Find LCM of 689,239,901,881,447 with Prime Factorization
53 | 689, 239, 901, 881, 447 |
13, 239, 17, 881, 447 |
Multiply the prime numbers at the bottom and the left side.
53 x 13 x 239 x 17 x 881 x 447 = 1102426072449
Therefore, the lowest common multiple of 689,239,901,881,447 is 1102426072449.
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.
689 x 239 x 901 x 881 x 447 = 58428581839797
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.
689 : 1, 13, 53, 689
239 : 1, 239
901 : 1, 17, 53, 901
881 : 1, 881
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,239,901,881,447, is 1.
Now, the common factors can be found like this.
689:13x 53
239:239
901:17x 53
881:881
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53 = 53
Therefore, the value for common factors is 53.
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 = 58428581839797/(1x53)
LCM = 58428581839797/53
LCM = 1102426072449
Thus, we can understand that the LCM of 689,239,901,881,447 is 1102426072449.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 239, 901, 881, 447?
Answer: LCM of 689, 239, 901, 881, 447 is 1102426072449.
2. How to calculate the LCM of 689, 239, 901, 881, 447?
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 689, 239, 901, 881, 447.
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}.