LCM of 3580, 9760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3580, 9760 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 3580, 9760. So, keep reading to learn more.
Given numbers are 3580,9760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3580,9760 is 1747040.
Find LCM of 3580,9760 with Prime Factorization
| 2 | 3580, 9760 |
| 2 | 1790, 4880 |
| 5 | 895, 2440 |
| 179, 488 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 179 x 488 = 1747040
Therefore, the lowest common multiple of 3580,9760 is 1747040.
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.
3580 x 9760 = 34940800
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.
3580 : 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580
9760 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760
20 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3580,9760, is 20.
Now, the common factors can be found like this.
3580:2x 2x 5x 179
9760:2x 2x 2x 2x 2x 5x 61
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 = 34940800/(20x1)
LCM = 34940800/20
LCM = 1747040
Thus, we can understand that the LCM of 3580,9760 is 1747040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 3580, 9760
1. What is the LCM of 3580, 9760?
Answer: LCM of 3580, 9760 is 1747040.
2. How to calculate the LCM of 3580, 9760?
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 3580, 9760.
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}.