LCM of 418, 338, 931, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 338, 931, 169 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 418, 338, 931, 169. So, keep reading to learn more.
Given numbers are 418,338,931,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,338,931,169 is 3461458.
Find LCM of 418,338,931,169 with Prime Factorization
| 2 | 418, 338, 931, 169 |
| 13 | 209, 169, 931, 169 |
| 13 | 209, 13, 931, 13 |
| 19 | 209, 1, 931, 1 |
| 11, 1, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 19 x 11 x 1 x 49 x 1 = 3461458
Therefore, the lowest common multiple of 418,338,931,169 is 3461458.
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.
418 x 338 x 931 x 169 = 22229483276
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
338 : 1, 2, 13, 26, 169, 338
931 : 1, 7, 19, 49, 133, 931
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,338,931,169, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
338:2x 13x 13
931:7x 7x 19
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13x 19 = 6422
Therefore, the value for common factors is 6422.
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 = 22229483276/(1x6422)
LCM = 22229483276/6422
LCM = 3461458
Thus, we can understand that the LCM of 418,338,931,169 is 3461458.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 338, 931, 169
1. What is the LCM of 418, 338, 931, 169?
Answer: LCM of 418, 338, 931, 169 is 3461458.
2. How to calculate the LCM of 418, 338, 931, 169?
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 418, 338, 931, 169.
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}.