LCM of 338, 611, 403, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 611, 403, 988 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 338, 611, 403, 988. So, keep reading to learn more.
Given numbers are 338,611,403,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,611,403,988 is 18713708.
Find LCM of 338,611,403,988 with Prime Factorization
| 2 | 338, 611, 403, 988 |
| 13 | 169, 611, 403, 494 |
| 13, 47, 31, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 47 x 31 x 38 = 18713708
Therefore, the lowest common multiple of 338,611,403,988 is 18713708.
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.
338 x 611 x 403 x 988 = 82228032952
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.
338 : 1, 2, 13, 26, 169, 338
611 : 1, 13, 47, 611
403 : 1, 13, 31, 403
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,611,403,988, is 13.
Now, the common factors can be found like this.
338:2x 13x 13
611:13x 47
403:13x 31
988:2x 2x 13x 19
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 13 = 338
Therefore, the value for common factors is 338.
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 = 82228032952/(13x338)
LCM = 82228032952/4394
LCM = 18713708
Thus, we can understand that the LCM of 338,611,403,988 is 18713708.
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FAQs on LCM of 338, 611, 403, 988
1. What is the LCM of 338, 611, 403, 988?
Answer: LCM of 338, 611, 403, 988 is 18713708.
2. How to calculate the LCM of 338, 611, 403, 988?
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 338, 611, 403, 988.
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}.