LCM of 543, 400, 138, 456, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 400, 138, 456, 224 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, 400, 138, 456, 224. So, keep reading to learn more.
Given numbers are 543,400,138,456,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,400,138,456,224 is 1328829600.
Find LCM of 543,400,138,456,224 with Prime Factorization
| 2 | 543, 400, 138, 456, 224 |
| 2 | 543, 200, 69, 228, 112 |
| 2 | 543, 100, 69, 114, 56 |
| 2 | 543, 50, 69, 57, 28 |
| 3 | 543, 25, 69, 57, 14 |
| 181, 25, 23, 19, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 181 x 25 x 23 x 19 x 14 = 1328829600
Therefore, the lowest common multiple of 543,400,138,456,224 is 1328829600.
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 400 x 138 x 456 x 224 = 3061623398400
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
138 : 1, 2, 3, 6, 23, 46, 69, 138
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,400,138,456,224, is 1.
Now, the common factors can be found like this.
543:3x 181
400:2x 2x 2x 2x 5x 5
138:2x 3x 23
456:2x 2x 2x 3x 19
224:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 3061623398400/(1x2304)
LCM = 3061623398400/2304
LCM = 1328829600
Thus, we can understand that the LCM of 543,400,138,456,224 is 1328829600.
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FAQs on LCM of 543, 400, 138, 456, 224
1. What is the LCM of 543, 400, 138, 456, 224?
Answer: LCM of 543, 400, 138, 456, 224 is 1328829600.
2. How to calculate the LCM of 543, 400, 138, 456, 224?
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, 400, 138, 456, 224.
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}.