LCM of 543, 340, 114, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 340, 114, 618 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, 340, 114, 618. So, keep reading to learn more.
Given numbers are 543,340,114,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,340,114,618 is 361301340.
Find LCM of 543,340,114,618 with Prime Factorization
| 2 | 543, 340, 114, 618 |
| 3 | 543, 170, 57, 309 |
| 181, 170, 19, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 170 x 19 x 103 = 361301340
Therefore, the lowest common multiple of 543,340,114,618 is 361301340.
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 340 x 114 x 618 = 13006848240
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
114 : 1, 2, 3, 6, 19, 38, 57, 114
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,340,114,618, is 1.
Now, the common factors can be found like this.
543:3x 181
340:2x 2x 5x 17
114:2x 3x 19
618:2x 3x 103
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 3 = 36
Therefore, the value for common factors is 36.
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 = 13006848240/(1x36)
LCM = 13006848240/36
LCM = 361301340
Thus, we can understand that the LCM of 543,340,114,618 is 361301340.
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FAQs on LCM of 543, 340, 114, 618
1. What is the LCM of 543, 340, 114, 618?
Answer: LCM of 543, 340, 114, 618 is 361301340.
2. How to calculate the LCM of 543, 340, 114, 618?
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, 340, 114, 618.
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}.