LCM of 543, 889, 561, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 889, 561, 221 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, 889, 561, 221. So, keep reading to learn more.
Given numbers are 543,889,561,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,889,561,221 is 1173509337.
Find LCM of 543,889,561,221 with Prime Factorization
| 3 | 543, 889, 561, 221 |
| 17 | 181, 889, 187, 221 |
| 181, 889, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 181 x 889 x 11 x 13 = 1173509337
Therefore, the lowest common multiple of 543,889,561,221 is 1173509337.
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 889 x 561 x 221 = 59848976187
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
889 : 1, 7, 127, 889
561 : 1, 3, 11, 17, 33, 51, 187, 561
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,889,561,221, is 1.
Now, the common factors can be found like this.
543:3x 181
889:7x 127
561:3x 11x 17
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 59848976187/(1x51)
LCM = 59848976187/51
LCM = 1173509337
Thus, we can understand that the LCM of 543,889,561,221 is 1173509337.
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FAQs on LCM of 543, 889, 561, 221
1. What is the LCM of 543, 889, 561, 221?
Answer: LCM of 543, 889, 561, 221 is 1173509337.
2. How to calculate the LCM of 543, 889, 561, 221?
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, 889, 561, 221.
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}.