Find the LCM of 133, 407, 814, 125, 381 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 133, 407, 814, 125, 381. So, keep reading to learn more.
Given numbers are 133,407,814,125,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,407,814,125,381 is 5155977750.
Find LCM of 133,407,814,125,381 with Prime Factorization
11 | 133, 407, 814, 125, 381 |
37 | 133, 37, 74, 125, 381 |
133, 1, 2, 125, 381 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 133 x 1 x 2 x 125 x 381 = 5155977750
Therefore, the lowest common multiple of 133,407,814,125,381 is 5155977750.
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.
133 x 407 x 814 x 125 x 381 = 2098482944250
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.
133 : 1, 7, 19, 133
407 : 1, 11, 37, 407
814 : 1, 2, 11, 22, 37, 74, 407, 814
125 : 1, 5, 25, 125
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,407,814,125,381, is 1.
Now, the common factors can be found like this.
133:7x 19
407:11x 37
814:2x 11x 37
125:5x 5x 5
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 2098482944250/(1x407)
LCM = 2098482944250/407
LCM = 5155977750
Thus, we can understand that the LCM of 133,407,814,125,381 is 5155977750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 407, 814, 125, 381?
Answer: LCM of 133, 407, 814, 125, 381 is 5155977750.
2. How to calculate the LCM of 133, 407, 814, 125, 381?
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 133, 407, 814, 125, 381.
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}.