LCM of 3487, 5060
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3487, 5060 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 3487, 5060. So, keep reading to learn more.
Given numbers are 3487,5060
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3487,5060 is 1604020.
Find LCM of 3487,5060 with Prime Factorization
| 11 | 3487, 5060 |
| 317, 460 |
Multiply the prime numbers at the bottom and the left side.
11 x 317 x 460 = 1604020
Therefore, the lowest common multiple of 3487,5060 is 1604020.
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.
3487 x 5060 = 17644220
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.
3487 : 1, 11, 317, 3487
5060 : 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3487,5060, is 11.
Now, the common factors can be found like this.
3487:11x 317
5060:2x 2x 5x 11x 23
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 = 17644220/(11x1)
LCM = 17644220/11
LCM = 1604020
Thus, we can understand that the LCM of 3487,5060 is 1604020.
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FAQs on LCM of 3487, 5060
1. What is the LCM of 3487, 5060?
Answer: LCM of 3487, 5060 is 1604020.
2. How to calculate the LCM of 3487, 5060?
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 3487, 5060.
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}.