LCM of 979, 429, 338, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 429, 338, 271 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 979, 429, 338, 271. So, keep reading to learn more.
Given numbers are 979,429,338,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,429,338,271 is 269023326.
Find LCM of 979,429,338,271 with Prime Factorization
| 11 | 979, 429, 338, 271 |
| 13 | 89, 39, 338, 271 |
| 89, 3, 26, 271 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 89 x 3 x 26 x 271 = 269023326
Therefore, the lowest common multiple of 979,429,338,271 is 269023326.
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.
979 x 429 x 338 x 271 = 38470335618
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.
979 : 1, 11, 89, 979
429 : 1, 3, 11, 13, 33, 39, 143, 429
338 : 1, 2, 13, 26, 169, 338
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,429,338,271, is 1.
Now, the common factors can be found like this.
979:11x 89
429:3x 11x 13
338:2x 13x 13
271:271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 38470335618/(1x143)
LCM = 38470335618/143
LCM = 269023326
Thus, we can understand that the LCM of 979,429,338,271 is 269023326.
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FAQs on LCM of 979, 429, 338, 271
1. What is the LCM of 979, 429, 338, 271?
Answer: LCM of 979, 429, 338, 271 is 269023326.
2. How to calculate the LCM of 979, 429, 338, 271?
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 979, 429, 338, 271.
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}.