LCM of 3468, 8534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3468, 8534 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 3468, 8534. So, keep reading to learn more.
Given numbers are 3468,8534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3468,8534 is 870468.
Find LCM of 3468,8534 with Prime Factorization
| 2 | 3468, 8534 |
| 17 | 1734, 4267 |
| 102, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 102 x 251 = 870468
Therefore, the lowest common multiple of 3468,8534 is 870468.
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.
3468 x 8534 = 29595912
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.
3468 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468
8534 : 1, 2, 17, 34, 251, 502, 4267, 8534
34 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3468,8534, is 34.
Now, the common factors can be found like this.
3468:2x 2x 3x 17x 17
8534:2x 17x 251
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 = 29595912/(34x1)
LCM = 29595912/34
LCM = 870468
Thus, we can understand that the LCM of 3468,8534 is 870468.
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FAQs on LCM of 3468, 8534
1. What is the LCM of 3468, 8534?
Answer: LCM of 3468, 8534 is 870468.
2. How to calculate the LCM of 3468, 8534?
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 3468, 8534.
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}.