LCM of 540, 252, 206, 547, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 252, 206, 547, 884 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 540, 252, 206, 547, 884. So, keep reading to learn more.
Given numbers are 540,252,206,547,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,252,206,547,884 is 47066144580.
Find LCM of 540,252,206,547,884 with Prime Factorization
| 2 | 540, 252, 206, 547, 884 |
| 2 | 270, 126, 103, 547, 442 |
| 3 | 135, 63, 103, 547, 221 |
| 3 | 45, 21, 103, 547, 221 |
| 15, 7, 103, 547, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 15 x 7 x 103 x 547 x 221 = 47066144580
Therefore, the lowest common multiple of 540,252,206,547,884 is 47066144580.
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.
540 x 252 x 206 x 547 x 884 = 13555049639040
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.
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
206 : 1, 2, 103, 206
547 : 1, 547
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,252,206,547,884, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
252:2x 2x 3x 3x 7
206:2x 103
547:547
884:2x 2x 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.
2x 2x 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 13555049639040/(1x288)
LCM = 13555049639040/288
LCM = 47066144580
Thus, we can understand that the LCM of 540,252,206,547,884 is 47066144580.
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FAQs on LCM of 540, 252, 206, 547, 884
1. What is the LCM of 540, 252, 206, 547, 884?
Answer: LCM of 540, 252, 206, 547, 884 is 47066144580.
2. How to calculate the LCM of 540, 252, 206, 547, 884?
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 540, 252, 206, 547, 884.
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}.