LCM of 7890, 7172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7890, 7172 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 7890, 7172. So, keep reading to learn more.
Given numbers are 7890,7172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7890,7172 is 28293540.
Find LCM of 7890,7172 with Prime Factorization
| 2 | 7890, 7172 |
| 3945, 3586 |
Multiply the prime numbers at the bottom and the left side.
2 x 3945 x 3586 = 28293540
Therefore, the lowest common multiple of 7890,7172 is 28293540.
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.
7890 x 7172 = 56587080
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.
7890 : 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
7172 : 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7890,7172, is 2.
Now, the common factors can be found like this.
7890:2x 3x 5x 263
7172:2x 2x 11x 163
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 = 56587080/(2x1)
LCM = 56587080/2
LCM = 28293540
Thus, we can understand that the LCM of 7890,7172 is 28293540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 7890, 7172
1. What is the LCM of 7890, 7172?
Answer: LCM of 7890, 7172 is 28293540.
2. How to calculate the LCM of 7890, 7172?
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 7890, 7172.
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}.