LCM of 543, 285, 106, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 285, 106, 420 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, 285, 106, 420. So, keep reading to learn more.
Given numbers are 543,285,106,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,285,106,420 is 76552140.
Find LCM of 543,285,106,420 with Prime Factorization
| 2 | 543, 285, 106, 420 |
| 3 | 543, 285, 53, 210 |
| 5 | 181, 95, 53, 70 |
| 181, 19, 53, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 181 x 19 x 53 x 14 = 76552140
Therefore, the lowest common multiple of 543,285,106,420 is 76552140.
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 285 x 106 x 420 = 6889692600
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
285 : 1, 3, 5, 15, 19, 57, 95, 285
106 : 1, 2, 53, 106
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,285,106,420, is 1.
Now, the common factors can be found like this.
543:3x 181
285:3x 5x 19
106:2x 53
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 6889692600/(1x90)
LCM = 6889692600/90
LCM = 76552140
Thus, we can understand that the LCM of 543,285,106,420 is 76552140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 285, 106, 420
1. What is the LCM of 543, 285, 106, 420?
Answer: LCM of 543, 285, 106, 420 is 76552140.
2. How to calculate the LCM of 543, 285, 106, 420?
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, 285, 106, 420.
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}.