LCM of 543, 273, 420, 561, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 273, 420, 561, 555 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 543, 273, 420, 561, 555. So, keep reading to learn more.
Given numbers are 543,273,420,561,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,273,420,561,555 is 6837770940.
Find LCM of 543,273,420,561,555 with Prime Factorization
| 3 | 543, 273, 420, 561, 555 |
| 5 | 181, 91, 140, 187, 185 |
| 7 | 181, 91, 28, 187, 37 |
| 181, 13, 4, 187, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 181 x 13 x 4 x 187 x 37 = 6837770940
Therefore, the lowest common multiple of 543,273,420,561,555 is 6837770940.
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.
543 x 273 x 420 x 561 x 555 = 19385080614900
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.
543 : 1, 3, 181, 543
273 : 1, 3, 7, 13, 21, 39, 91, 273
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
561 : 1, 3, 11, 17, 33, 51, 187, 561
555 : 1, 3, 5, 15, 37, 111, 185, 555
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,273,420,561,555, is 3.
Now, the common factors can be found like this.
543:3x 181
273:3x 7x 13
420:2x 2x 3x 5x 7
561:3x 11x 17
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 7 = 945
Therefore, the value for common factors is 945.
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 = 19385080614900/(3x945)
LCM = 19385080614900/2835
LCM = 6837770940
Thus, we can understand that the LCM of 543,273,420,561,555 is 6837770940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 273, 420, 561, 555
1. What is the LCM of 543, 273, 420, 561, 555?
Answer: LCM of 543, 273, 420, 561, 555 is 6837770940.
2. How to calculate the LCM of 543, 273, 420, 561, 555?
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 543, 273, 420, 561, 555.
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}.