LCM of 9078, 3978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9078, 3978 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 9078, 3978. So, keep reading to learn more.
Given numbers are 9078,3978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9078,3978 is 354042.
Find LCM of 9078,3978 with Prime Factorization
| 2 | 9078, 3978 |
| 3 | 4539, 1989 |
| 17 | 1513, 663 |
| 89, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 89 x 39 = 354042
Therefore, the lowest common multiple of 9078,3978 is 354042.
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.
9078 x 3978 = 36112284
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.
9078 : 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
3978 : 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
102 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9078,3978, is 102.
Now, the common factors can be found like this.
9078:2x 3x 17x 89
3978:2x 3x 3x 13x 17
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 = 36112284/(102x1)
LCM = 36112284/102
LCM = 354042
Thus, we can understand that the LCM of 9078,3978 is 354042.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9078, 3978
1. What is the LCM of 9078, 3978?
Answer: LCM of 9078, 3978 is 354042.
2. How to calculate the LCM of 9078, 3978?
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 9078, 3978.
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}.