Find the LCM of 107, 179, 209, 418 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 107, 179, 209, 418. So, keep reading to learn more.
Given numbers are 107,179,209,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,179,209,418 is 8005954.
Find LCM of 107,179,209,418 with Prime Factorization
11 | 107, 179, 209, 418 |
19 | 107, 179, 19, 38 |
107, 179, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 107 x 179 x 1 x 2 = 8005954
Therefore, the lowest common multiple of 107,179,209,418 is 8005954.
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.
107 x 179 x 209 x 418 = 1673244386
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.
107 : 1, 107
179 : 1, 179
209 : 1, 11, 19, 209
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,179,209,418, is 1.
Now, the common factors can be found like this.
107:107
179:179
209:11x 19
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 1673244386/(1x209)
LCM = 1673244386/209
LCM = 8005954
Thus, we can understand that the LCM of 107,179,209,418 is 8005954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 179, 209, 418?
Answer: LCM of 107, 179, 209, 418 is 8005954.
2. How to calculate the LCM of 107, 179, 209, 418?
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 107, 179, 209, 418.
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}.