LCM of 988, 541, 517, 364, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 541, 517, 364, 326 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 988, 541, 517, 364, 326. So, keep reading to learn more.
Given numbers are 988,541,517,364,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,541,517,364,326 is 315304665676.
Find LCM of 988,541,517,364,326 with Prime Factorization
| 2 | 988, 541, 517, 364, 326 |
| 2 | 494, 541, 517, 182, 163 |
| 13 | 247, 541, 517, 91, 163 |
| 19, 541, 517, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 541 x 517 x 7 x 163 = 315304665676
Therefore, the lowest common multiple of 988,541,517,364,326 is 315304665676.
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.
988 x 541 x 517 x 364 x 326 = 32791685230304
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
541 : 1, 541
517 : 1, 11, 47, 517
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,541,517,364,326, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
541:541
517:11x 47
364:2x 2x 7x 13
326:2x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 32791685230304/(1x104)
LCM = 32791685230304/104
LCM = 315304665676
Thus, we can understand that the LCM of 988,541,517,364,326 is 315304665676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 541, 517, 364, 326
1. What is the LCM of 988, 541, 517, 364, 326?
Answer: LCM of 988, 541, 517, 364, 326 is 315304665676.
2. How to calculate the LCM of 988, 541, 517, 364, 326?
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 988, 541, 517, 364, 326.
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}.