Find the LCM of 408, 753, 105, 893, 725 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 408, 753, 105, 893, 725. So, keep reading to learn more.
Given numbers are 408,753,105,893,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,753,105,893,725 is 464110495800.
Find LCM of 408,753,105,893,725 with Prime Factorization
3 | 408, 753, 105, 893, 725 |
5 | 136, 251, 35, 893, 725 |
136, 251, 7, 893, 145 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 136 x 251 x 7 x 893 x 145 = 464110495800
Therefore, the lowest common multiple of 408,753,105,893,725 is 464110495800.
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.
408 x 753 x 105 x 893 x 725 = 20884972311000
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
753 : 1, 3, 251, 753
105 : 1, 3, 5, 7, 15, 21, 35, 105
893 : 1, 19, 47, 893
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,753,105,893,725, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
753:3x 251
105:3x 5x 7
893:19x 47
725:5x 5x 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 5 = 45
Therefore, the value for common factors is 45.
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 = 20884972311000/(1x45)
LCM = 20884972311000/45
LCM = 464110495800
Thus, we can understand that the LCM of 408,753,105,893,725 is 464110495800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 753, 105, 893, 725?
Answer: LCM of 408, 753, 105, 893, 725 is 464110495800.
2. How to calculate the LCM of 408, 753, 105, 893, 725?
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 408, 753, 105, 893, 725.
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}.