LCM of 547, 315, 756, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 315, 756, 240 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 547, 315, 756, 240. So, keep reading to learn more.
Given numbers are 547,315,756,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,315,756,240 is 8270640.
Find LCM of 547,315,756,240 with Prime Factorization
| 2 | 547, 315, 756, 240 |
| 2 | 547, 315, 378, 120 |
| 3 | 547, 315, 189, 60 |
| 3 | 547, 105, 63, 20 |
| 5 | 547, 35, 21, 20 |
| 7 | 547, 7, 21, 4 |
| 547, 1, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 547 x 1 x 3 x 4 = 8270640
Therefore, the lowest common multiple of 547,315,756,240 is 8270640.
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.
547 x 315 x 756 x 240 = 31263019200
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.
547 : 1, 547
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,315,756,240, is 1.
Now, the common factors can be found like this.
547:547
315:3x 3x 5x 7
756:2x 2x 3x 3x 3x 7
240:2x 2x 2x 2x 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 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 31263019200/(1x3780)
LCM = 31263019200/3780
LCM = 8270640
Thus, we can understand that the LCM of 547,315,756,240 is 8270640.
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FAQs on LCM of 547, 315, 756, 240
1. What is the LCM of 547, 315, 756, 240?
Answer: LCM of 547, 315, 756, 240 is 8270640.
2. How to calculate the LCM of 547, 315, 756, 240?
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 547, 315, 756, 240.
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}.