LCM of 684, 515, 603, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 515, 603, 540 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 684, 515, 603, 540. So, keep reading to learn more.
Given numbers are 684,515,603,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,515,603,540 is 70804260.
Find LCM of 684,515,603,540 with Prime Factorization
| 2 | 684, 515, 603, 540 |
| 2 | 342, 515, 603, 270 |
| 3 | 171, 515, 603, 135 |
| 3 | 57, 515, 201, 45 |
| 5 | 19, 515, 67, 15 |
| 19, 103, 67, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 103 x 67 x 3 = 70804260
Therefore, the lowest common multiple of 684,515,603,540 is 70804260.
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.
684 x 515 x 603 x 540 = 114702901200
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
515 : 1, 5, 103, 515
603 : 1, 3, 9, 67, 201, 603
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,515,603,540, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
515:5x 103
603:3x 3x 67
540:2x 2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 114702901200/(1x1620)
LCM = 114702901200/1620
LCM = 70804260
Thus, we can understand that the LCM of 684,515,603,540 is 70804260.
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FAQs on LCM of 684, 515, 603, 540
1. What is the LCM of 684, 515, 603, 540?
Answer: LCM of 684, 515, 603, 540 is 70804260.
2. How to calculate the LCM of 684, 515, 603, 540?
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 684, 515, 603, 540.
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}.