LCM of 567, 135, 654, 318, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 135, 654, 318, 543 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 567, 135, 654, 318, 543. So, keep reading to learn more.
Given numbers are 567,135,654,318,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,135,654,318,543 is 5928761790.
Find LCM of 567,135,654,318,543 with Prime Factorization
| 2 | 567, 135, 654, 318, 543 |
| 3 | 567, 135, 327, 159, 543 |
| 3 | 189, 45, 109, 53, 181 |
| 3 | 63, 15, 109, 53, 181 |
| 21, 5, 109, 53, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 21 x 5 x 109 x 53 x 181 = 5928761790
Therefore, the lowest common multiple of 567,135,654,318,543 is 5928761790.
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.
567 x 135 x 654 x 318 x 543 = 8644134689820
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
135 : 1, 3, 5, 9, 15, 27, 45, 135
654 : 1, 2, 3, 6, 109, 218, 327, 654
318 : 1, 2, 3, 6, 53, 106, 159, 318
543 : 1, 3, 181, 543
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,135,654,318,543, is 3.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
135:3x 3x 3x 5
654:2x 3x 109
318:2x 3x 53
543:3x 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 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 8644134689820/(3x486)
LCM = 8644134689820/1458
LCM = 5928761790
Thus, we can understand that the LCM of 567,135,654,318,543 is 5928761790.
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FAQs on LCM of 567, 135, 654, 318, 543
1. What is the LCM of 567, 135, 654, 318, 543?
Answer: LCM of 567, 135, 654, 318, 543 is 5928761790.
2. How to calculate the LCM of 567, 135, 654, 318, 543?
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 567, 135, 654, 318, 543.
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}.