LCM of 6834, 5304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6834, 5304 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 6834, 5304. So, keep reading to learn more.
Given numbers are 6834,5304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6834,5304 is 355368.
Find LCM of 6834,5304 with Prime Factorization
| 2 | 6834, 5304 |
| 3 | 3417, 2652 |
| 17 | 1139, 884 |
| 67, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 67 x 52 = 355368
Therefore, the lowest common multiple of 6834,5304 is 355368.
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.
6834 x 5304 = 36247536
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.
6834 : 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834
5304 : 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
102 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6834,5304, is 102.
Now, the common factors can be found like this.
6834:2x 3x 17x 67
5304:2x 2x 2x 3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 36247536/(102x1)
LCM = 36247536/102
LCM = 355368
Thus, we can understand that the LCM of 6834,5304 is 355368.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 6834, 5304
1. What is the LCM of 6834, 5304?
Answer: LCM of 6834, 5304 is 355368.
2. How to calculate the LCM of 6834, 5304?
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 6834, 5304.
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}.