LCM of 543, 144, 345, 876, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 144, 345, 876, 724 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, 144, 345, 876, 724. So, keep reading to learn more.
Given numbers are 543,144,345,876,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,144,345,876,724 is 218807280.
Find LCM of 543,144,345,876,724 with Prime Factorization
| 2 | 543, 144, 345, 876, 724 |
| 2 | 543, 72, 345, 438, 362 |
| 3 | 543, 36, 345, 219, 181 |
| 181 | 181, 12, 115, 73, 181 |
| 1, 12, 115, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 1 x 12 x 115 x 73 x 1 = 218807280
Therefore, the lowest common multiple of 543,144,345,876,724 is 218807280.
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 144 x 345 x 876 x 724 = 17108978837760
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
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
345 : 1, 3, 5, 15, 23, 69, 115, 345
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,144,345,876,724, is 1.
Now, the common factors can be found like this.
543:3x 181
144:2x 2x 2x 2x 3x 3
345:3x 5x 23
876:2x 2x 3x 73
724:2x 2x 181
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 3x 3x 3x 181 = 78192
Therefore, the value for common factors is 78192.
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 = 17108978837760/(1x78192)
LCM = 17108978837760/78192
LCM = 218807280
Thus, we can understand that the LCM of 543,144,345,876,724 is 218807280.
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FAQs on LCM of 543, 144, 345, 876, 724
1. What is the LCM of 543, 144, 345, 876, 724?
Answer: LCM of 543, 144, 345, 876, 724 is 218807280.
2. How to calculate the LCM of 543, 144, 345, 876, 724?
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, 144, 345, 876, 724.
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}.