LCM of 102, 391, 989, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 391, 989, 344 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 102, 391, 989, 344. So, keep reading to learn more.
Given numbers are 102,391,989,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,391,989,344 is 403512.
Find LCM of 102,391,989,344 with Prime Factorization
| 2 | 102, 391, 989, 344 |
| 17 | 51, 391, 989, 172 |
| 23 | 3, 23, 989, 172 |
| 43 | 3, 1, 43, 172 |
| 3, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 43 x 3 x 1 x 1 x 4 = 403512
Therefore, the lowest common multiple of 102,391,989,344 is 403512.
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.
102 x 391 x 989 x 344 = 13568494512
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
391 : 1, 17, 23, 391
989 : 1, 23, 43, 989
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,391,989,344, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
391:17x 23
989:23x 43
344:2x 2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 23x 43 = 33626
Therefore, the value for common factors is 33626.
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 = 13568494512/(1x33626)
LCM = 13568494512/33626
LCM = 403512
Thus, we can understand that the LCM of 102,391,989,344 is 403512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 391, 989, 344
1. What is the LCM of 102, 391, 989, 344?
Answer: LCM of 102, 391, 989, 344 is 403512.
2. How to calculate the LCM of 102, 391, 989, 344?
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 102, 391, 989, 344.
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}.