LCM of 557, 546, 721, 946, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 546, 721, 946, 561 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 557, 546, 721, 946, 561. So, keep reading to learn more.
Given numbers are 557,546,721,946,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,546,721,946,561 is 251880835206.
Find LCM of 557,546,721,946,561 with Prime Factorization
| 2 | 557, 546, 721, 946, 561 |
| 3 | 557, 273, 721, 473, 561 |
| 7 | 557, 91, 721, 473, 187 |
| 11 | 557, 13, 103, 473, 187 |
| 557, 13, 103, 43, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 557 x 13 x 103 x 43 x 17 = 251880835206
Therefore, the lowest common multiple of 557,546,721,946,561 is 251880835206.
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.
557 x 546 x 721 x 946 x 561 = 116368945865172
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.
557 : 1, 557
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
721 : 1, 7, 103, 721
946 : 1, 2, 11, 22, 43, 86, 473, 946
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,546,721,946,561, is 1.
Now, the common factors can be found like this.
557:557
546:2x 3x 7x 13
721:7x 103
946:2x 11x 43
561:3x 11x 17
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 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 116368945865172/(1x462)
LCM = 116368945865172/462
LCM = 251880835206
Thus, we can understand that the LCM of 557,546,721,946,561 is 251880835206.
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FAQs on LCM of 557, 546, 721, 946, 561
1. What is the LCM of 557, 546, 721, 946, 561?
Answer: LCM of 557, 546, 721, 946, 561 is 251880835206.
2. How to calculate the LCM of 557, 546, 721, 946, 561?
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 557, 546, 721, 946, 561.
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}.