Find the LCM of 335, 173, 268, 754, 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 335, 173, 268, 754, 381. So, keep reading to learn more.
Given numbers are 335,173,268,754,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,173,268,754,381 is 33297929340.
Find LCM of 335,173,268,754,381 with Prime Factorization
2 | 335, 173, 268, 754, 381 |
67 | 335, 173, 134, 377, 381 |
5, 173, 2, 377, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 5 x 173 x 2 x 377 x 381 = 33297929340
Therefore, the lowest common multiple of 335,173,268,754,381 is 33297929340.
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.
335 x 173 x 268 x 754 x 381 = 4461922531560
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.
335 : 1, 5, 67, 335
173 : 1, 173
268 : 1, 2, 4, 67, 134, 268
754 : 1, 2, 13, 26, 29, 58, 377, 754
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,173,268,754,381, is 1.
Now, the common factors can be found like this.
335:5x 67
173:173
268:2x 2x 67
754:2x 13x 29
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.
2x 67 = 134
Therefore, the value for common factors is 134.
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 = 4461922531560/(1x134)
LCM = 4461922531560/134
LCM = 33297929340
Thus, we can understand that the LCM of 335,173,268,754,381 is 33297929340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 173, 268, 754, 381?
Answer: LCM of 335, 173, 268, 754, 381 is 33297929340.
2. How to calculate the LCM of 335, 173, 268, 754, 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 335, 173, 268, 754, 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}.