LCM of 543, 544, 102, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 544, 102, 497 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, 544, 102, 497. So, keep reading to learn more.
Given numbers are 543,544,102,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,544,102,497 is 146809824.
Find LCM of 543,544,102,497 with Prime Factorization
| 2 | 543, 544, 102, 497 |
| 3 | 543, 272, 51, 497 |
| 17 | 181, 272, 17, 497 |
| 181, 16, 1, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 181 x 16 x 1 x 497 = 146809824
Therefore, the lowest common multiple of 543,544,102,497 is 146809824.
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 544 x 102 x 497 = 14974602048
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
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
102 : 1, 2, 3, 6, 17, 34, 51, 102
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,544,102,497, is 1.
Now, the common factors can be found like this.
543:3x 181
544:2x 2x 2x 2x 2x 17
102:2x 3x 17
497:7x 71
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 17 = 102
Therefore, the value for common factors is 102.
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 = 14974602048/(1x102)
LCM = 14974602048/102
LCM = 146809824
Thus, we can understand that the LCM of 543,544,102,497 is 146809824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 544, 102, 497
1. What is the LCM of 543, 544, 102, 497?
Answer: LCM of 543, 544, 102, 497 is 146809824.
2. How to calculate the LCM of 543, 544, 102, 497?
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, 544, 102, 497.
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}.