LCM of 5070, 5074
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5070, 5074 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 5070, 5074. So, keep reading to learn more.
Given numbers are 5070,5074
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5070,5074 is 12862590.
Find LCM of 5070,5074 with Prime Factorization
| 2 | 5070, 5074 |
| 2535, 2537 |
Multiply the prime numbers at the bottom and the left side.
2 x 2535 x 2537 = 12862590
Therefore, the lowest common multiple of 5070,5074 is 12862590.
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.
5070 x 5074 = 25725180
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.
5070 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
5074 : 1, 2, 43, 59, 86, 118, 2537, 5074
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5070,5074, is 2.
Now, the common factors can be found like this.
5070:2x 3x 5x 13x 13
5074:2x 43x 59
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 = 25725180/(2x1)
LCM = 25725180/2
LCM = 12862590
Thus, we can understand that the LCM of 5070,5074 is 12862590.
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FAQs on LCM of 5070, 5074
1. What is the LCM of 5070, 5074?
Answer: LCM of 5070, 5074 is 12862590.
2. How to calculate the LCM of 5070, 5074?
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 5070, 5074.
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}.