Find the LCM of 635, 387, 286, 407, 167 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 635, 387, 286, 407, 167. So, keep reading to learn more.
Given numbers are 635,387,286,407,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,387,286,407,167 is 434279089530.
Find LCM of 635,387,286,407,167 with Prime Factorization
11 | 635, 387, 286, 407, 167 |
635, 387, 26, 37, 167 |
Multiply the prime numbers at the bottom and the left side.
11 x 635 x 387 x 26 x 37 x 167 = 434279089530
Therefore, the lowest common multiple of 635,387,286,407,167 is 434279089530.
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.
635 x 387 x 286 x 407 x 167 = 4777069984830
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.
635 : 1, 5, 127, 635
387 : 1, 3, 9, 43, 129, 387
286 : 1, 2, 11, 13, 22, 26, 143, 286
407 : 1, 11, 37, 407
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,387,286,407,167, is 1.
Now, the common factors can be found like this.
635:5x 127
387:3x 3x 43
286:2x 11x 13
407:11x 37
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 4777069984830/(1x11)
LCM = 4777069984830/11
LCM = 434279089530
Thus, we can understand that the LCM of 635,387,286,407,167 is 434279089530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 387, 286, 407, 167?
Answer: LCM of 635, 387, 286, 407, 167 is 434279089530.
2. How to calculate the LCM of 635, 387, 286, 407, 167?
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 635, 387, 286, 407, 167.
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}.