Find the LCM of 463, 944, 133, 941, 760 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 463, 944, 133, 941, 760. So, keep reading to learn more.
Given numbers are 463,944,133,941,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,944,133,941,760 is 273504360080.
Find LCM of 463,944,133,941,760 with Prime Factorization
2 | 463, 944, 133, 941, 760 |
2 | 463, 472, 133, 941, 380 |
2 | 463, 236, 133, 941, 190 |
19 | 463, 118, 133, 941, 95 |
463, 118, 7, 941, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 463 x 118 x 7 x 941 x 5 = 273504360080
Therefore, the lowest common multiple of 463,944,133,941,760 is 273504360080.
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.
463 x 944 x 133 x 941 x 760 = 41572662732160
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.
463 : 1, 463
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
133 : 1, 7, 19, 133
941 : 1, 941
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,944,133,941,760, is 1.
Now, the common factors can be found like this.
463:463
944:2x 2x 2x 2x 59
133:7x 19
941:941
760:2x 2x 2x 5x 19
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 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 41572662732160/(1x152)
LCM = 41572662732160/152
LCM = 273504360080
Thus, we can understand that the LCM of 463,944,133,941,760 is 273504360080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 944, 133, 941, 760?
Answer: LCM of 463, 944, 133, 941, 760 is 273504360080.
2. How to calculate the LCM of 463, 944, 133, 941, 760?
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 463, 944, 133, 941, 760.
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}.