LCM of 3470, 7230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3470, 7230 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 3470, 7230. So, keep reading to learn more.
Given numbers are 3470,7230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3470,7230 is 2508810.
Find LCM of 3470,7230 with Prime Factorization
| 2 | 3470, 7230 |
| 5 | 1735, 3615 |
| 347, 723 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 347 x 723 = 2508810
Therefore, the lowest common multiple of 3470,7230 is 2508810.
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.
3470 x 7230 = 25088100
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.
3470 : 1, 2, 5, 10, 347, 694, 1735, 3470
7230 : 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3470,7230, is 10.
Now, the common factors can be found like this.
3470:2x 5x 347
7230:2x 3x 5x 241
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 = 25088100/(10x1)
LCM = 25088100/10
LCM = 2508810
Thus, we can understand that the LCM of 3470,7230 is 2508810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 3470, 7230
1. What is the LCM of 3470, 7230?
Answer: LCM of 3470, 7230 is 2508810.
2. How to calculate the LCM of 3470, 7230?
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 3470, 7230.
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}.