LCM of 1620, 7704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1620, 7704 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 1620, 7704. So, keep reading to learn more.
Given numbers are 1620,7704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1620,7704 is 346680.
Find LCM of 1620,7704 with Prime Factorization
| 2 | 1620, 7704 |
| 2 | 810, 3852 |
| 3 | 405, 1926 |
| 3 | 135, 642 |
| 45, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 45 x 214 = 346680
Therefore, the lowest common multiple of 1620,7704 is 346680.
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.
1620 x 7704 = 12480480
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.
1620 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
7704 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
36 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1620,7704, is 36.
Now, the common factors can be found like this.
1620:2x 2x 3x 3x 3x 3x 5
7704:2x 2x 2x 3x 3x 107
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 = 12480480/(36x1)
LCM = 12480480/36
LCM = 346680
Thus, we can understand that the LCM of 1620,7704 is 346680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 1620, 7704
1. What is the LCM of 1620, 7704?
Answer: LCM of 1620, 7704 is 346680.
2. How to calculate the LCM of 1620, 7704?
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 1620, 7704.
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}.