Find the LCM of 744, 465, 940, 895 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 744, 465, 940, 895. So, keep reading to learn more.
Given numbers are 744,465,940,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,465,940,895 is 31296360.
Find LCM of 744,465,940,895 with Prime Factorization
2 | 744, 465, 940, 895 |
2 | 372, 465, 470, 895 |
3 | 186, 465, 235, 895 |
5 | 62, 155, 235, 895 |
31 | 62, 31, 47, 179 |
2, 1, 47, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 2 x 1 x 47 x 179 = 31296360
Therefore, the lowest common multiple of 744,465,940,895 is 31296360.
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.
744 x 465 x 940 x 895 = 291056148000
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
465 : 1, 3, 5, 15, 31, 93, 155, 465
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,465,940,895, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
465:3x 5x 31
940:2x 2x 5x 47
895:5x 179
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 5x 5x 31 = 9300
Therefore, the value for common factors is 9300.
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 = 291056148000/(1x9300)
LCM = 291056148000/9300
LCM = 31296360
Thus, we can understand that the LCM of 744,465,940,895 is 31296360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 744, 465, 940, 895?
Answer: LCM of 744, 465, 940, 895 is 31296360.
2. How to calculate the LCM of 744, 465, 940, 895?
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 744, 465, 940, 895.
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}.